Unformatted text preview: hat got A to In. This means we have no row of zeros, and no free variables. This forces our answer to be unique.
Theorem: Two row‐equivalent matrices will have the same solution set.
Why? We know that if A and rref(A) have the same solution set. We know that B and rref(B) have the same solution set. This means that if both rref(A) and rref(b) are equal, they all must have the same solution set. 2 23/09/2013 Particular Solution
We call any one solution to Ax=b a particular solution. That is, any one member to the solution set is...
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