- #1

Robb

- 225

- 8

## Homework Statement

Determine whether of not each system has a nonzero solution.

x + 3y - 2z = 0

2x - 3y + z = 0

3x - 2y + 2z = 0

## Homework Equations

## The Attempt at a Solution

Using a ti-84 I put the matrix in rref and I get a nonzero solution for x and y and zero for z but when I find the determinant of the coefficient matrix I get zero, indicating there is not a unique solution. I'm unsure what to make of this. Please advise.

1 0 .727

rref= 0 1 -.909

0 0 0

det = 1 3 -2

2 -3 1 = 0

3 -2 2