Question: Let A be a matrix with linearly independent columns. Prove the following: (a) (cA)+ = ( l/c)A+ for all scalars c 0. (b) (A+)+

Let A be a matrix with linearly independent columns. Prove the following:
(a) (cA)+ = ( l/c)A+ for all scalars c ≠ 0.
(b) (A+)+ = A if A is a square matrix.
(c) (AT)+ = (A+)T if A is a square matrix.

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