Finding the inverse and the solution for NxN system of equations in "one" step.

Asked Nov 04 '13 at 14:43

Active Nov 04 '13 at 14:56

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This is cool... at least if I have it right.

Do I understand correctly that (using the gauss/Jordan method) Finding the RRef of

|A|I||x| ( Matix A augmented by the Identity Matrix augmented by |x|) will simultaneously yield the Inverse of |A| and the Solution vector?

edited Nov 04 '13 at 14:56

asked Nov 04 '13 at 14:43

Chris

Yes, it will. You can augment it by as many vectors as you want and get solution vectors for them all. In a sense, augmenting it with $I$ is using the basis vectors as the $x$'s and finding the solution vectors for each. – Ross Millikan Nov 04 '13 at 14:57

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