Question

Determine if the columns of the matrix form a linearly independent set. justify your answer. left bracket start 4 by 3 matrix 1st row 1st column negative 2 2nd column negative 1 3rd column 0 2nd row 1st column 0 2nd column negative 1 3rd column 3 3rd row 1st column 1 2nd column 1 3rd column negative 6 4st row 1st column 2 2nd column 1 3rd column negative 12 endmatrix right bracket −2 −1 0 0 −1 3 1 1 −6 2 1 −12

Answer 1

I want to preface this by saying I don't have the answer. I haven't taken linear algebra yet. If someone here does know the answer, by all means, their answer should supersede mine. But... if

$A= \left[\begin{array}{ccc}-2&-1&0\\0&1&3\\1&1&6\\2&1&-12\end{array}\right]$

then here is an outline of how to determine whether the columns form a linearly independent set.