- #1
Soupy11
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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