- #1

## Homework Statement

Given the following matrix:

I need to determine the conditions for b1, b2, and b3 to make the system consistent. In addition, I need to check if the system is consistent when:

a) b1 = 1, b2 = 1, b3 = 3

b) b1 = 1, b2 = 0., b3 = -1

c) b1 = 1, b2 = 2, b3 = 3

## Homework Equations

Gaussian elimination method I used here:

http://mathworld.wolfram.com/GaussianElimination.html

## The Attempt at a Solution

For the matrix to be consistent, I knew that the number of non-zero rows had to be less than the number of columns. Hence I tried to get the last row to be 0 0 0 | *; however while I managed to get the last row to become 0 0 1, I don't know how to make it the zero row I want.

I'm wondering if my thought process to make this consistent is correct, or if there is another way I can make this system consistent.