Which of the following are true for any m × n matrix A of real numbers?

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Which of the following are true for any m × n matrix A of real numbers?

1. The rowspace of A is the same as the columnspace of AT
2. The rowspace of A is the same as the rowspace of AT
3. The eigenvectors of AAT are the same as the eigenvectors of AT A
4. The eigenvalues of AAT are the same as the eigenvalues of AT A

Correct Answer: A, D

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