- #1
Gurvir
- 19
- 0
Homework Statement
Given the augmented matrix for a system of equations below, find m such that the system will have infinitely many solutions.
3 3 -9 15
1 -1 3 -3
-4 -4 12 m
m = ?
Homework Equations
None
The Attempt at a Solution
Well I tried to reduce the matrix to row-echelon form but I'm not sure what to do with the 'm' at all. I am not familiar with variables in matrices. Here's how far I have gotten:
r1/3 and r3/-4
1 1 -3 5
1 -1 3 -3
1 1 -3 m/-4
r2-r1 and r3-r1
1 1 -3 5
0 1 -3 4
0 0 0 m-5/-4
I don't know how to answer for m. I am pretty sure that infinite solutions means that the matrix needs as many variables as equations which I read somewhere else on the forum.
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