- #1

karush

Gold Member

MHB

- 3,269

- 5

Give a geometric description of the solution set.

$\begin{array}{rrrrr}

-2x_1&+2x_2&+4x_3&=0\\

-4x_1&-4x_2&-8x_3&=0\\

&-3x_2&-3x_3&=0

\end{array}$

this can be written as

$\left[\begin{array}{rrr|rr}-2&2&4&0\\-4&-4&-8&0\\&-3&-3&0\end{array}\right]$

$\text{RREF}=\left[ \begin{array}{ccc|c} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \end{array} \right]$

ok I am not sure how you get a geometric description with everything going to zero