- #1

Soupy11

- 6

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## Homework Statement

Prove that the only n x n non-singular reduced row echelon matrix is I sub n.

## The Attempt at a Solution

Not even remotely sure where to start here - the statement looks similar to the definition of a non-singular matrix. Yet there is something subtly different and I am having an issue grasping it. I see in the next chapter there are some tools explored using elementary matrices, but this specific question is before that material so I am assuming that the proof must be done without that knowledge.

If A is a nxn matrix not equal to I yet non-singular

There exists a matrix X that satisfies

AX=I