(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose that Gaussian Elimination gives the soluiton of a Linear System Ax=c as x = x_{0}+ a_{1}x_{1}+ a_{2}x_{2}, where A is a 6X6 matrix and a_{1}and a_{2}are arbitrary. Is the matrix A invertible? Explain

3. The attempt at a solution

I simply explained that due to properties of an invertible matrix, Ax=c must have exactly one solution but if a_{1}and_{2}are arbitrary, then x = x_{0}+ a_{1}x_{1}+ a_{2}x_{2}has infinitely many solutions and A cannot be invertible

does anyone agree with this answer and if not, any advice on how to start the problem would be great appreciated thanks a lot!

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# Homework Help: Linear System problem

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