03) (20 points) Consider the two matrices A = [₁B-21- Consider each of the matrices are operating on an arbitrary vector
Posted: Thu Jun 30, 2022 7:34 pm
03) (20 points) Consider the two matrices A = [₁B-21- Consider each of the matrices are operating on an arbitrary vector (a, b) in 2D cartesian plane. For each of the matrices A and B : a) Find the eigenvalues and eigenvectors b) Plot the initial arbitrary vector and the resultant arbitrary vector after matrix operation c) What is the relationship between eigenvectors and matrix operation (part a and part b) ? d) Can you plot the eigenvectors in 2D cartesian plane? If not justify why they are not defined in 2D space?