MAT2114 Homework §5.1 Due Date: 25 April 2022 Name: Instructions: Answer the following questions, showing ALL your work and writing neatly. This assignment is due to Canvas by 11:59pm on the date...

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MAT2114 Homework §5.1 Due Date: 25 April 2022 Name: Instructions: Answer the following questions, showing ALL your work and writing neatly. This assignment is due to Canvas by 11:59pm on the date above. Group work is allowed and encouraged, but each group member must write up their own solutions. 1. In §5.1 WebAssign, Problem #1, you’re asked to find proju(v), the projection of v onto u = [ −1 1 ] . (a) Since proju is a linear transformation from R2 to R2, find the standard matrix. (b) What happens when you square the matrix from part (a)? (c) Find the eigenvalues and eigenvectors for the matrix from part (a). Then draw the eigenvectors in the grid below. Span(u) 1