How to find a non-zero vector in the column space of M

[shamieh]

Let the matrix $M = \begin{bmatrix}-12&-12&16&-15\\-6&-8&-8&-10\\0&20&0&25\end{bmatrix}$

Find a non zero vector in the column space of $M$

Is it not true that $\begin{bmatrix}-12\\-8\\20\end{bmatrix}$ is a non zero vector in the column space of $M$ ? For some reason it keeps telling me "that is incorrect your answer doesn't seem to be a Vector"

 

[Sudharaka]

Let the matrix $M = \begin{bmatrix}-12&-12&16&-15\\-6&-8&-8&-10\\0&20&0&25\end{bmatrix}$

Find a non zero vector in the column space of $M$

Is it not true that $\begin{bmatrix}-12\\-8\\20\end{bmatrix}$ is a non zero vector in the column space of $M$ ? For some reason it keeps telling me "that is incorrect your answer doesn't seem to be a Vector"

Hi shameih,

It is true that $\begin{bmatrix}-12\\-8\\20\end{bmatrix}$ is a non-zero vector that is in the column space of $M$. I see nothing wrong with your answer. Is it possible that the way you inserted it into the computer might be incorrect?