Find eigenvalues and eigenvectors of a find eigenvalues and


Consider the following two matrices:

95_matrix.png

a. Find eigenvalues and eigenvectors of A.

b. Find eigenvalues and eigenvectors of B.

c. Find eigenvalues and eigenvectors of A ⊗ B.

d. Can you establish a relationship between the eigenvalues of A ⊗ B and the eigenvalues of A and B?

e. Compute the SVD of matrix A.

f. Compute the SVD of matrix B.

g. Compute the SVD of matrix A ⊗ B.

h. Is there a relationship between the SVDs of A, B, and A ⊗ B?

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Microeconomics: Find eigenvalues and eigenvectors of a find eigenvalues and
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