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Normally, we start with a matrix and find the eigenvalues and eigenvectors. But it’s interesting to...

Normally, we start with a matrix and find the eigenvalues and eigenvectors. But it’s interesting to see if this process can be performed in reverse. Suppose that a 2x2 matrix has eigenvalues of +2 and -1 but no info on the eigenvectors. Can you find the matrix? How many matrices would have these eigenvalues?

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