(a) Determine the definiteness of the following quadratic forms: q = - 41,7, + 2r,7, – – 4z + 6z,7, (ii) q = 2n – 3z + 5a? – 8x,7, (1) (b) Given the following matrix: 1 0 0 D = 0 3 0 0 0 2 Find the...

(a) Determine the definiteness of the following quadratic forms:<br>q = - 41,7, + 2r,7, – – 4z + 6z,7,<br>(ii) q = 2n – 3z + 5a? – 8x,7,<br>(1)<br>(b) Given the following matrix:<br>1 0 0<br>D = 0 3 0<br>0 0 2<br>Find the eigenvalues and the eigenvectors of D.<br>:<br>

Extracted text: (a) Determine the definiteness of the following quadratic forms: q = - 41,7, + 2r,7, – – 4z + 6z,7, (ii) q = 2n – 3z + 5a? – 8x,7, (1) (b) Given the following matrix: 1 0 0 D = 0 3 0 0 0 2 Find the eigenvalues and the eigenvectors of D. :

Jun 11, 2022

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(a) Determine the definiteness of the following quadratic forms: q = - 41,7, + 2r,7, – – 4z + 6z,7, (ii) q = 2n – 3z + 5a? – 8x,7, (1) (b) Given the following matrix: 1 0 0 D = 0 3 0 0 0 2 Find the...

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