Question: I'm stuck in the question solve this question quickly 2. [Pseudo-inverse and QR. ] The pseudo inverse Z of a matrix A ( RX ,

I'm stuck in the question solve this question quickly

2. [Pseudo-inverse and QR. ] The pseudo inverse Z of a matrix A ( RX , m > n is (uniquely) defined through the following conditions (called Penrose axioms): ZA = (ZA), AZ = (AZ) I, ZAZ = Z, AZA = A. (a) Show that for a full-rank matrix A ( RX, the solution operator At := (ATA)-1AT occurring in the normal equations satisfies the Penrose axioms. (b) Compute the pseudo inverse of A from its QR-factorization

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