How do I check if a vector is a linear combination of a matrix?
For example:
Is $\begin{bmatrix}-6\\9\\7\\6\\1\\-4 \end{bmatrix}$ a linear combination of the columns of $\begin{bmatrix} 6&0&6&-2&4\\-9&0&-9&6&0\\-7&1&-7&0&-8\\-6&0&6&1&-6\\-1&4&-1&-7&-10\\4&-1&4&2&8 \end{bmatrix}$ ?