Question: Let A be an invertible n n matrix, and let B be an n p matrix. Explain why A -1 B can be

Let A be an invertible n × n matrix, and let B be an n × p matrix. Explain why A-1B can be computed by row reduction:


If [A B]~~ [IX], then X = AB.


If A is larger than 2 x 2, then row reduction of [A B] is much faster than computing both A-1 and A-1 B.

If [A B]~~ [IX], then X = AB.

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