Question: An m n matrix A is said to have a right inverse if there exists an n x m matrix C such that AC

An m × n matrix A is said to have a right inverse if there exists an n x m matrix C such that AC = Im. A is said to have a left inverse if there exists an n × m matrix D such that DA = In.
(a) If A has a right inverse, show that the column vectors of A span Rm.
(b) Is it possible for an m × n matrix to have a right inverse if n < m? n ≥ m? Explain.

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a Let C denote the right inverse of A and let b R m If we set x Cb then Ax ACb I m b ... View full answer

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