- #1

karush

Gold Member

MHB

- 3,269

- 5

$\begin{array}{rrrr}

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

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

&-3x_2& -3x_3& =0

\end{array}\implies

\left[\begin{array}{rrrr}

x_1\\x_2\\x_3

\end{array}\right]

=\left[\begin{array}{rrrr}

-2\\-4\\\color{red}{0}

\end{array}\right]x_1

+\left[\begin{array}{rrrr}

2\\-4\\-3

\end{array}\right]x_2

+\left[\begin{array}{rrrr}

4\\-8\\-3

\end{array}\right]x_3$

red is a null space

ok its looks straight forward but still ? typos etc

is there an online calculator to check these

no book answer on this one