Question

Prove that is A and B are both invertible nxn matrices then A and B are row euqivalent to eachother

Answer 1

Here are some things that might help out.

Claim 1: Let A and B be nxn matrices. If A is row equivalent to B, then B is row equivalent to A.

Claim 2: Let A, B, and C be nxn matrices. If A is row equivalent to B and B is row equivalent to C, then A is row equivalent to C.

Claim 3: If A is an invertible nxn matrix, then A is row equivalent to the identity matrix.

Do any of these claims not make sense or seem confusing?