A is m n full rank matrix with m n and...

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A is m × n full rank matrix with m > n and $$I$$ is an identity matrix. Let matrix A' = (A^TA)^-1A^T, Then, which one of the following statement is TRUE?

A. AA' A = A

B. (AA')² = A

C. AA'A = $$I$$

D. AA'A = A'

Answer: Option A

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