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Consider the following two matrices:
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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