Hey all,

The question states, " Find a basis for the solution space in R^5 of this linear system. Find this subspace's dimension." The respective linear system is as follows:

$\displaystyle

\begin{bmatrix}x_1&2x_2&3x_3&4x_4&5x_5\\2x_1&-x_2&2x_3&-x_4&2x_5\\0&5x_2&4x_3&9x_4&8x_5\\x_1&7x_2&7x_3&13x _4&13x_5\end{bmatrix}$ = $\displaystyle \begin{bmatrix}0\\0\\0\\0\end{bmatrix}$

What I've done so far:

I've used Gauss-Jordan Complete Elimination to reduce the augmented matrix...(can't go past that)

What I don't understand:

I know that I should use the reduced matrix to find the basis of the linear system...But I don't know how to do this...

Also, what does it mean "subspace's dimension"?

Thank you to all providing assistance