03) (20 points) Consider the two matrices A = [₁B-21- Consider each of the matrices are operating on an arbitrary vector

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03) (20 points) Consider the two matrices A = [₁B-21- Consider each of the matrices are operating on an arbitrary vector

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03 20 Points Consider The Two Matrices A B 21 Consider Each Of The Matrices Are Operating On An Arbitrary Vector 1
03 20 Points Consider The Two Matrices A B 21 Consider Each Of The Matrices Are Operating On An Arbitrary Vector 1 (24.83 KiB) Viewed 163 times
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?
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