Find all eigenvalues and a corresponding eigenvector for each matrix below without cal- culations by thinking...

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Find all eigenvalues and a corresponding eigenvector for each matrix below without cal- culations by thinking it out using the linear transformation's geometric interpretation. Write a few words (like 5) in each case explaining why your eigenvector/eigenvalue pair works. For each matrix, graph each eigenvector and it's image after the transformation as well as a random NON-eigenvector. Check your graph is accurate by showing the matrix multiplication. (i) A= 00 0], T =zero. TA TA projection onto y-axis. (ii) A = 0 (iv) A = [ ] (v) A= TA =reflect about the line "y=-x". TA stretch in x-direction. Find all eigenvalues and a corresponding eigenvector for each matrix below without cal- culations by thinking it out using the linear transformation's geometric interpretation. Write a few words (like 5) in each case explaining why your eigenvector/eigenvalue pair works. For each matrix, graph each eigenvector and it's image after the transformation as well as a random NON-eigenvector. Check your graph is accurate by showing the matrix multiplication. (i) A= 00 0], T =zero. TA TA projection onto y-axis. (ii) A = 0 (iv) A = [ ] (v) A= TA =reflect about the line "y=-x". TA stretch in x-direction.

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i For matrix A 0 0 0 0 since all the elements are zero except the main diagonal the only eigenvalue ... View the full answer