A First Course in Linear Algebra · Problem CRS-RQ-3

Matrices — Robert Beezer

Mathematics — Linear Algebra · row-space

Problem

Is the vector

\begin{bmatrix} 0 \\ 5 \\ 2 \\ 3 \end{bmatrix}

in the row space of the following matrix? Why or why not?

\begin{bmatrix} 1 & 3 & 1 & 3 \\ 2 & 0 & 1 & 1 \\ -1 & 2 & 1 & 0 \end{bmatrix}