Question: Given the following information, construct a singular value decomposition: The eigenvectors for are ?and ?for eigenvalues of 90 and 40 respectively. The eigenvectors for ?are

Given the following information, construct a singular value decomposition:

The eigenvectors for AA^Tare egin{pmatrix} 0  1 end{pmatrix}?and egin{pmatrix} 1  0 end{pmatrix}?for eigenvalues of 90 and 40 respectively.

The eigenvectors for A^TA?are egin{pmatrix} 0  0  1 end{pmatrix}, egin{pmatrix} 1  3  0 end{pmatrix}, and egin{pmatrix} -3  1  0 end{pmatrix}?for eigenvalues of 0, 40, and 90 respectively

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AAT 1 -3 1 0

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