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

Let A = [A1,...,An-1] be an (nx(n-1)) matrix. Show that B = [A1,...,An-1,Ab] is singular for every choice of b in R^n-1.

2. Relevant equations

Ax = 0

3. The attempt at a solution

I know that if B is singular that means that for the equation Bx = 0 there exists another solution another than the trivial solution (x = 0). Now if we made B have all the same columns as A except added a new column Ab, that would make B a square matrix that is (nxn). But from there, I can't figure out how to use the information I know to solve the problem...

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# Homework Help: Singular matrices

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