An m*n matrix A is said to have a right inverse if there exists an n*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.(adsbygoogle = window.adsbygoogle || []).push({});

(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.

? How to do that? I dont' know how to start? what if A doesn't span Rm?

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# Homework Help: Matrix's right inverse

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