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Let A M mxn (R) be such that AA T M m (R) is invertible. Prove that A + = A T (AA

Let A ∈ M_mxn(R) be such that AA^T ∈ M_m(R) is invertible. Prove that A⁺ = A^T (AA^T)-, where A⁺ is the pseudo-inverse of A.

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