Help using row operations to find X1,X2, and X3

**seanP** · July 3rd 2010, 12:23 PM

this is the given matrix:

| -6 0 4 8 |
| -2 1 0 4 |
| 3 -4 7 -2|

i ended up with
x1 = 0
x2 = 4
x3 = 2

can someone verify if this is right?
thanks

**Soroban** · July 3rd 2010, 12:35 PM

Hello, seanP!

This is the given matrix: . $\left|\begin{array}{ccc|c} \text{-}6 & 0 & 4 & 8 \\\text{-}2 & 1 & 0 & 4 \\ 3 & \text{-}4 & 7 & \text{-}2\end{array}\right|$

I ended up with: . $\begin{Bmatrix} x_1 &=& 0 \\ x_2 &=& 4 \\ x_3 &=& 2 \end{Bmatrix}$

Can someone verify if this is right?

To check your answers, substitute into the original system of equations:

. . $\begin{array}{ccc}\text{-}6x_1 \qquad\;\; + 4x_3 &=& 8 \\<br /> \text{-}2x_1 + \;x_2 \qquad \;\;\;&=& 4 \\<br /> 3x_1 - 4x_2 + 7x_3 &=& \text{-}2 \end{array}$

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