Hey guys,(adsbygoogle = window.adsbygoogle || []).push({});

Here is my question.

A is a 4x4 matrix and there are two vectors, b and c, which have 4 real numbers. If we are told that A(vector x)=(vector b) has an unique solution, how many solutions does A(vector x)=(vector c) have?

I honestly have no idea how to do this. I know that for A would be in the following rref form:

1 0 0 0

0 1 0 0 for Ax=b.

0 0 1 0

0 0 0 1

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Matrices: Number of solutions of Ax=c if we know the solutions to Ax=b

**Physics Forums | Science Articles, Homework Help, Discussion**