Please answer the inclass assignment question 1- 8 from reference lecture 2. Please remember the...

Question

Please answer the inclass assignment question 1- 8 from reference lecture 2. Please remember the assignment need to be submitted in a .mlx file and pdf.

Matrix Calculation Lec04: Matrix/Array Calculation/ Find index/Practice Trigonometric function X = 0.1:0.1:10; y=sin(x) X = 0.1:0.1:10; y=cos(x) X = 0.1:0.1:10; y=tan(x) x =0:0.1:10; Amp=2; Freq =1.2; Phase =3; Bias =1.5; y=Amp*sin(Freq*x+Phase)+Bias; x is in radius Close-form function Free vibration m k x = x0.*cos(wn.*t)+(xd0/wn.*sin(wn.*t)); System of linear equations: w = 2a +2b -7c -2d x = 3a + 2b – 5c +6d y = 9a – 8b + c - 4d z = a +5b + 3c – d w=5, x= -17, y=14 and z=9 Find the value of a, b, c and d Find index under conditions Find index: Syntax DescriptionReturn value x = find(A)Find indices and values of nonzero elements, return linear index[1;2;4;6;7;8;9] x = find(A<5) find="" the="" elements="" that="" are="" less="" than="" 5,="" return="" linear="" index="" [1;2;3;4;5;7]="" [row="" col]=""><5) find="" the="" elements="" that="" are="" less="" than="" 5,="" return="" sub="" index="" row="[1;2;3;1;2;1]" col="[1;1;1;2;2;3];" x="max(A)" maximum="" elements="" of="" each="" column,="" return="" max="" elements="" x="min(A)" minimum="" elements="" of="" each="" column,="" return="" min="" elements="" x="max(A(:))" maximum="" elements="" of="" reshaped="" a(column="" only),="" return="" linear="" index="" 9="" a(a="">8)=0Replace all elements greater than 8 in A to be 0 A 6 In class practice: Assign results to variables namely problem1, problem2 … etc. (1) Generate matrix A . Find the linear index of largest element in matrix A. (2) Generate matrix B. Find the subscript index of smallest element in matrix B. (3) Generate a 4 by 3 matrix with all elements equal to 2. (5) Replace all elements greater than 3 in B to be 0. (4) Replace all elements in A to be 2. (6) Generate matrix C . Find the linear index of element equal to 0, and convert the linear index to subscript index. (7) Generate matrix D. Find the value of smallest element of D, and find the linear index of all these elements. (8) Calculate y=3*sin(x+2)+1, when x = [1,2…,10] 0246810 x -1 -0.5 0 0.5 1 y sin 0246810 x -1 -0.5 0 0.5 1 y cos 0246810 x -10 -5 0 5 10 y tan 051015 x -1 0 1 2 3 4 y Amp=2,Freq=1.2,Phase=3,Bias=1.5 00.511.52 time(s) -0.3 -0.2 -0.1 0 0.1 0.2 0.3 d i s p l a c e m e n t ( i n c h )

lec04-1-i0iz4vc0.pptx

J Anitha · Accepted Answer

Ex1.mlx
[Content_Types].xml
        
_rels/.rels
       
matlab/document.xml
       A = [1 2 3;4 5 6;7 8 9] %Matrix A
disp('Largest element in Matrix A')
t = max(A(:)) %Find largest element in the Matrix A
for i = 1 : 3          
    for j = 1 : 3
        if((A(i,j))==t) %subscript index of the largest element
            p = i
            q = j
         end
    end
end
s = [3,3] % size of the Matrix
disp('Linear index of largest element')
ind = sub2ind(s,p,q) %linear index of the largest element
matlab/output.xml
   manual code ready  0.4   matrix   A 3×3 3 3 double      1     2     3
     4     5     6
     7     8     9
 double double [[{"value":"{"value":"1"}"},{"value":"{"value":"2"}"},{"value":"{"value":"3"}"}]]  1  text  Largest element in Matrix A
  false false  2  variable  t 9 1 1  3  variable  p 3 1 1  7  variable  q 3 1 1  8  matrix   s 1×2 1 2 double      3     3
 double double [[{"value":"{"value":"3"}"},{"value":"{"value":"3"}"}]]  12  text  Linear index of largest element
  false false  13  variable  ind 9 1 1  14    true false A = [1 2 3;4 5 6;7 8 9] %Matrix A 0 0 0  0   false false disp('Largest element in Matrix A') 1 1 1  1   false false t = max(A(:)) %Find largest element in the Matrix A 2 2 2  2   false false for i = 1 : 3          
    for j = 1 : 3
        if((A(i,j))==t) %subscript index of the largest element
            p = i
            q = j
         end
    end
end 3 3 10  3 4   false false s = [3,3] 4 11 11  5   false false disp('Linear index of largest element') 5 12 12  6   false true ind = sub2ind(s,p,q) %linear index of the largest element 6 13 13  7
metadata/coreProperties.xml
  2020-04-16T14:35:09Z 2020-04-16T15:16:34Z
metadata/mwcoreProperties.xml
  application/vnd.mathworks.matlab.code MATLAB Code R2020a
metadata/mwcorePropertiesExtension.xml
  9.8.0.1298242 449ecf2e-7271-4b38-91fe-1a0870236e69
metadata/mwcorePropertiesReleaseInfo.xml
 
   9.8.0.1323502
   R2020a
   
   Feb 25 2020
   3410093040
Ex1.pdf
A = [1 2 3;4 5 6;7 8 9] %Matrix A
A = 3×3
     1     2     3
     4     5     6
     7     8     9
disp('Largest element in Matrix A')
Largest element in Matrix A
t = max(A(:)) %Find largest element in the Matrix A
t = 9
for i = 1 : 3          
    for j = 1 : 3
        if((A(i,j))==t) %subscript index of the largest element
            p = i
            q = j
         end
    end
end
p = 3
q = 3
s = [3,3] % size of the Matrix
s = 1×2
     3     3
disp('Linear index of largest element')
Linear index of largest element
ind = sub2ind(s,p,q) %linear index of the largest element
ind = 9
1
Ex2.mlx
[Content_Types].xml
        
_rels/.rels
       
matlab/document.xml
       B = [6 2 1;4 2 7;8 3 5] %Matrix B
disp('Smallest element in Matrix B')
t = min(B(:)) %Find Smallest element in the Matrix B
disp('subscript index of smallest element in matrix B')
for i = 1 : 3          
    for j = 1 : 3
        if((B(i,j))==t) %subscript index of the smallest element
            p = i
            q = j
         end
    end
end
matlab/output.xml
   manual code ready  0.4   matrix   B 3×3 3 3 double      6     2     1
     4     2     7
     8     3     5
 double double [[{"value":"{"value":"6"}"},{"value":"{"value":"2"}"},{"value":"{"value":"1"}"}]]  1  text  Smallest element in Matrix B
  false false  2  variable  t 1 1 1  3  text  subscript index of smallest element in matrix B
  false false  4  variable  p 1 1 1  8  variable  q 3 1 1  9    true false B = [6 2 1;4 2 7;8 3 5] %Matrix B 0 0 0  0   false false disp('Smallest element in Matrix B') 1 1 1  1   false false t = min(B(:)) %Find Smallest element in the Matrix B 2 2 2  2   false false disp('subscript index of smallest element in matrix B') 3 3 3  3   false true for i = 1 : 3          
    for j = 1 : 3
        if((B(i,j))==t) %subscript index of the smallest element
            p = i
            q = j
         end
    end
end 4 4 11  4 5
metadata/coreProperties.xml
  2020-04-16T15:18:54Z 2020-04-16T15:29:01Z
metadata/mwcoreProperties.xml
  application/vnd.mathworks.matlab.code MATLAB Code R2020a
metadata/mwcorePropertiesExtension.xml
  9.8.0.1298242 08243660-a54e-4a6b-a35f-370dcf863db6
metadata/mwcorePropertiesReleaseInfo.xml
 
   9.8.0.1323502
   R2020a
   
   Feb 25 2020
   3410093040
Ex2.pdf
B = [6 2 1;4 2 7;8 3 5] %Matrix B
B = 3×3
     6     2     1
     4     2     7
     8     3     5
disp('Smallest element in Matrix B')
Smallest element in Matrix B
t = min(B(:)) %Find Smallest element in the Matrix B
t = 1
disp('subscript index of smallest element in matrix B')
subscript index of smallest element in matrix B
for i = 1 : 3          
    for j = 1 : 3
        if((B(i,j))==t) %subscript index of the smallest element
            p = i
            q = j
         end
    end
end
p = 1
q = 3
1
Ex3.mlx
[Content_Types].xml
        
_rels/.rels
       
matlab/document.xml
       C = [2 2 2;2 2 2;2 2 2;2 2 2]
matlab/output.xml
   manual code ready  0.4   matrix   C 4×3 4 3 double      2     2     2
     2     2     2
     2     2     2
     2     2     2
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"2"}"}]]  1    true true C = [2 2 2;2 2 2;2 2 2;2 2 2] 0 0 0  0
metadata/coreProperties.xml
  2020-04-16T15:31:45Z 2020-04-16T15:31:45Z
metadata/mwcoreProperties.xml
  application/vnd.mathworks.matlab.code MATLAB Code R2020a
metadata/mwcorePropertiesExtension.xml
  9.8.0.1298242 6ab6c339-5346-4886-8ea8-adf88caca200
metadata/mwcorePropertiesReleaseInfo.xml
 
   9.8.0.1323502
   R2020a
   
   Feb 25 2020
   3410093040
Ex3.pdf
C = [2 2 2;2 2 2;2 2 2;2 2 2]
C = 4×3
     2     2     2
     2     2     2
     2     2     2
     2     2     2
1
Ex4.mlx
[Content_Types].xml
        
_rels/.rels
       
matlab/document.xml
       A = [1 2 3;4 5 6;7 8 9]
A(1,1)=2 %Replace all elements in A to 2
A(1,2)=2
A(1,3)=2
A(2,1)=2
A(2,2)=2
A(2,3)=2
A(3,1)=2
A(3,2)=2
A(3,3)=2
disp('Modified Matrix')
disp(A)
matlab/output.xml
   manual code ready  0.4   matrix   A 3×3 3 3 double      1     2     3
     4     5     6
     7     8     9
 double double [[{"value":"{"value":"1"}"},{"value":"{"value":"2"}"},{"value":"{"value":"3"}"}]]  1  matrix   A 3×3 3 3 double      2     2     3
     4     5     6
     7     8     9
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"3"}"}]]  2  matrix   A 3×3 3 3 double      2     2     3
     4     5     6
     7     8     9
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"3"}"}]]  3  matrix   A 3×3 3 3 double      2     2     2
     4     5     6
     7     8     9
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"2"}"}]]  4  matrix   A 3×3 3 3 double      2     2     2
     2     5     6
     7     8     9
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"2"}"}]]  5  matrix   A 3×3 3 3 double      2     2     2
     2     2     6
     7     8     9
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"2"}"}]]  6  matrix   A 3×3 3 3 double      2     2     2
     2     2     2
     7     8     9
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"2"}"}]]  7  matrix   A 3×3 3 3 double      2     2     2
     2     2     2
     2     8     9
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"2"}"}]]  8  matrix   A 3×3 3 3 double      2     2     2
     2     2     2
     2     2     9
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"2"}"}]]  9  matrix   A 3×3 3 3 double      2     2     2
     2     2     2
     2     2     2
 double double [[{"value":"{"value":"2"}"},{"value":"{"value":"2"}"},{"value":"{"value":"2"}"}]]  10  text  Modified Matrix
  false false  11  text       2     2     2
     2     2     2
     2     2     2
  false false  12    true false A = [1 2 3;4 5 6;7 8 9] 0 0 0  0   false false A(1,1)=2 %Replace all elements in A to 2 1 1 1  1   false false A(1,2)=2 2 2 2  2   false false A(1,3)=2 3 3 3  3   false false A(2,1)=2 4 4 4  4   false false A(2,2)=2 5 5 5  5   false false A(2,3)=2 6 6 6  6   false false A(3,1)=2 7 7 7  7   false false A(3,2)=2 8 8 8  8   false false A(3,3)=2 9 9 9  9   false false disp('Modified Matrix') 10 10 10  10   false true disp(A) 11 11 11  11
metadata/coreProperties.xml
  2020-04-16T15:39:35Z 2020-04-16T15:44:35Z
metadata/mwcoreProperties.xml
  application/vnd.mathworks.matlab.code MATLAB Code R2020a
metadata/mwcorePropertiesExtension.xml
  9.8.0.1298242 4d266bd0-3fd5-4818-a4ab-76e11cba79b3
metadata/mwcorePropertiesReleaseInfo.xml
 
   9.8.0.1323502
   R2020a
   
   Feb 25 2020
   3410093040
Ex4.pdf
A = [1 2 3;4 5 6;7 8 9]
A = 3×3
     1     2     3
     4     5     6
     7     8     9
A(1,1)=2 %Replace all elements in A to 2
A = 3×3
     2     2     3
     4     5     6
     7     8     9
A(1,2)=2
A = 3×3
     2     2     3
     4     5     6
     7     8     9
A(1,3)=2
A = 3×3
     2     2     2
     4     5     6
     7     8     9
A(2,1)=2
A = 3×3
     2     2     2
     2     5     6
     7     8     9
A(2,2)=2
A = 3×3
     2     2     2
     2     2     6
     7     8     9
A(2,3)=2
A = 3×3
     2     2     2
     2     2     2
     7     8     9
A(3,1)=2
A = 3×3
     2     2     2
     2     2     2
     2     8     9
A(3,2)=2
A = 3×3
     2     2     2
     2     2     2
1
     2     2     9
A(3,3)=2
A = 3×3
     2     2     2
     2     2     2
     2     2     2
disp('Modified Matrix')
Modified Matrix
disp(A)
     2     2     2
     2     2     2
     2     2     2
2
Ex5.mlx
[Content_Types].xml
        
_rels/.rels
       
matlab/document.xml
       disp('B Matrix')
B = [6 2 1;4 2 7;8 3 5] %B Matrix
disp('Modified B Matrix')
B(B>3)=0 %Replace all elements greater than 3 in B to be 0
matlab/output.xml
   manual code ready  0.4   text  B Matrix
  false false  1  matrix   B 3×3 3 3 double      6     2     1
     4     2     7
     8     3     5
 double double [[{"value":"{"value":"6"}"},{"value":"{"value":"2"}"},{"value":"{"value":"1"}"}]]  2  text  Modified B Matrix
  false false  3  matrix   B 3×3 3 3 double      0     2     1
     0     2     0
     0     3     0
 double double [[{"value":"{"value":"0"}"},{"value":"{"value":"2"}"},{"value":"{"value":"1"}"}]]  4    true false disp('B Matrix') 0 0 0  0   false false B = [6 2 1;4 2 7;8 3 5] %B Matrix 1 1 1  1   false false disp('Modified B Matrix') 2 2 2  2   false true B(B>3)=0 %Replace all elements greater than 3 in B to be 0 3 3 3  3
metadata/coreProperties.xml
  2020-04-16T15:51:41Z 2020-04-16T15:54:47Z
metadata/mwcoreProperties.xml
  application/vnd.mathworks.matlab.code MATLAB Code R2020a
metadata/mwcorePropertiesExtension.xml
  9.8.0.1298242 833b991c-2669-4111-9243-7316a3a43caa
metadata/mwcorePropertiesReleaseInfo.xml
 
   9.8.0.1323502
   R2020a
   
   Feb 25 2020
   3410093040
Ex5.pdf
disp('B Matrix')
B Matrix
B = [6 2 1;4 2 7;8 3 5] %B Matrix
B = 3×3
     6     2     1
     4     2     7
     8     3     5
disp('Modified B Matrix')
Modified B Matrix
B(B>3)=0 %Replace all elements greater than 3 in B to be 0
B = 3×3
     0     2     1
     0     2     0
     0     3     0
1
Ex6.mlx
[Content_Types].xml
        
_rels/.rels
       
matlab/document.xml
       C = [1 1 1;1 0 1;1 1 1]
s = [3,3]
a = find(C)
b = length(a)
disp('linear index of element equal to 0')
for i = 1:9
       if i ~=  a
       disp(i)
       disp('Subscript index')
       [p,q] = ind2sub(s,i) %linear index to subscript index
       disp([p,q])
       end
end
matlab/output.xml
   manual code ready  0.4   matrix   C 3×3 3 3 double      1     1     1
     1     0     1
     1     1     1
 double double [[{"value":"{"value":"1"}"},{"value":"{"value":"1"}"},{"value":"{"value":"1"}"}]]  1  matrix   s 1×2 1 2 double      3     3
 double double [[{"value":"{"value":"3"}"},{"value":"{"value":"3"}"}]]  2  matrix   a 8×1 8 1 double      1
     2
     3
     4
     6
     7
     8
     9
 double double [[{"value":"{"value":"1"}"},{"value":"{"value":"2"}"},{"value":"{"value":"3"}"},{"value":"{"value":"4"}"},{"value":"{"value":"6"}"},{"value":"{"value":"7"}"},{"value":"{"value":"8"}"},{"value":"{"value":"9"}"}]]  3  variable  b 8 1 1  4  text  linear index of element equal to 0
  false false  5  text       5
  false false  8  text  Subscript index
  false false  9  variable  p 2 1 1  10  variable  q 2 1 1  10  text       2     2
  false false  11    true false C = [1 1 1;1 0 1;1 1 1] 0 0 0  0   false false s = [3,3] 1 1 1  1   false false a = find(C) 2 2 2  2   false false b = length(a) 3 3 3  3   false false disp('linear index of element equal to 0') 4 4 4  4   false true for i = 1:9
       if i ~=  a
       disp(i)
       disp('Subscript index')
       [p,q] = ind2sub(s,i)
       disp([p,q])
       end
end 5 5 12  5 6 7 8 9
metadata/coreProperties.xml
  2020-04-16T13:19:33Z 2020-04-16T14:29:47Z
metadata/mwcoreProperties.xml
  application/vnd.mathworks.matlab.code MATLAB Code R2020a
metadata/mwcorePropertiesExtension.xml
  9.8.0.1298242 952e5d25-c982-42a7-b673-848d2a5a27e4
metadata/mwcorePropertiesReleaseInfo.xml
 
   9.8.0.1323502
   R2020a
   
   Feb 25 2020
   3410093040
Ex6.pdf
C = [1 1 1;1 0 1;1 1 1]
C = 3×3
     1     1     1
     1     0     1
     1     1     1
s = [3,3]
s = 1×2
     3     3
a = find(C)
a = 8×1
     1
     2
     3
     4
     6
     7
     8
     9
b = length(a)
b = 8
disp('linear index of element equal to 0')
linear index of element equal to 0
for i = 1:9
       if i ~=  a
       disp(i)
       disp('Subscript index')
       [p,q] = ind2sub(s,i) %linear index to subscript index
       disp([p,q])
       end
end
     5
Subscript index
p = 2
q = 2
     2     2
1
Ex7.mlx
[Content_Types].xml
        
_rels/.rels
       
matlab/document.xml
       D = [0 0 0;0 0 0;0 0 2]
disp('Smallest element of D')
x = min(D(:))
disp('Linear index of non zero elements of D')
y = find(D)
matlab/output.xml
   manual code ready  0.4   matrix   D 3×3 3 3 double      0     0     0
     0     0     0
     0     0     2
 double double [[{"value":"{"value":"0"}"},{"value":"{"value":"0"}"},{"value":"{"value":"0"}"}]]  1  text  Smallest element of D
  false false  2  variable  x 0 1 1  3  text  Linear index of non zero elements of D
  false false  4  variable  y 9 1 1  5    true false D = [0 0 0;0 0 0;0 0 2] 0 0 0  0   false false disp('Smallest element of D') 1 1 1  1   false false x = min(D(:)) 2 2 2  2   false false disp('Linear index of non zero elements of D') 3 3 3  3   false true y = find(D) 4 4 4  4
metadata/coreProperties.xml
  2020-04-16T12:42:42Z 2020-04-16T13:05:27Z
metadata/mwcoreProperties.xml
  application/vnd.mathworks.matlab.code MATLAB Code R2020a
metadata/mwcorePropertiesExtension.xml
  9.8.0.1298242 3064b517-8ca3-460b-963e-b3330b9a376d
metadata/mwcorePropertiesReleaseInfo.xml
 
   9.8.0.1323502
   R2020a
   
   Feb 25 2020
   3410093040
Ex7.pdf
D = [0 0 0;0 0 0;0 0 2]
D = 3×3
     0     0     0
     0     0     0
     0     0     2
disp('Smallest element of D')
Smallest element of D
x = min(D(:))
x = 0
disp('Linear index of non zero elements of D')
Linear index of non zero elements of D
y = find(D)
y = 9
1
Ex8.mlx
[Content_Types].xml
        
_rels/.rels
       
matlab/document.xml
       x = 1:1:10;
y = 3 * sin(x+2) + 1;
disp('x          y');
for j = 1:10
    fprintf("%f %f
",x(j),y(j));    
end
plot(x,y);
xlabel('x');
ylabel('y');
grid on
matlab/output.xml
   manual code ready  0.4   text  x          y
  false false  3  text  1.000000 1.423360
2.000000 -1.270407
3.000000 -1.876773
4.000000 0.161754
5.000000 2.970960
6.000000 3.968075
7.000000 2.236355
8.000000 -0.632063
9.000000 -1.999971
10.000000 -0.609719
  false  5  figure  8d7dfdac-9daf-4f13-ae30-92dc463add89 data:image/png;base64,

Matrix Calculation Lec04: Matrix/Array Calculation/ Find index/Practice Trigonometric function X = 0.1:0.1:10; y=sin(x) X = 0.1:0.1:10; y=cos(x) X = 0.1:0.1:10; y=tan(x) x =0:0.1:10; Amp=2; Freq =1.2;...

Answer To: Matrix Calculation Lec04: Matrix/Array Calculation/ Find index/Practice Trigonometric function X =...

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