- #1

karush

Gold Member

MHB

- 3,269

- 5

ok I am going to do several of these till I get it...

Find the value(s) of h for which the vectors are linearly dependent. Justify

$\left[\begin{array}{rrrrrr}

2\\-2\\4

\end{array}\right],

\left[\begin{array}{rrrrrr}

4\\-6\\7

\end{array}\right],

\left[\begin{array}{rrrrrr}

-2\\2\\h

\end{array}\right]$

so the first step would be, I like the augment line

$\left[\begin{array}{rrr|r}

2&4&-2&0\\

-2&-6&2&0\\

4&7&h&0

\end{array}\right]$

EMH returned...

$\text{rref}=\left[ \begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\end{array} \right]$

$h$ disappeared :censored: