Hey again!(adsbygoogle = window.adsbygoogle || []).push({});

Im having trouble with this problem given in the matrix inverse section of the textbook. It gives these two matricies in the form AX=B

[x1]=[3 -1 2][y1]

[x2]=[1 0 4][y2]

[x3]=[2 1 0][y3]

and

[z1]=[1 -1 1][y1]

[z2]=[2 -3 0][y2]

[z3]=[-1 1 -2][y3]

The question says, given the first matrix and the second matrix, express the variables, x1, x2, x3 in terms of z1, z2, z3. Im not too sure on where to start here. So far, I just multiplied through to find the equations for the x variables and z variables.

x1 = 3y1 - y2 + 2y3

x2 = y1 + 4y3

x2 = 2y1 + y2

z1 = y1 - y2 + y3

z2 = 2y1 - 3y2

z3 = -y1 + y2 + 2y3

Im not sure on where to go from here.

Thanks in advance

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

Dismiss Notice

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: Algebra question again

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