Determine Whether B Is in the Column Space of A$$A = \left[ \begin{array} { r r r }
1 & 2 & - 3 \
1 & 4 & - 6 \
- 3 & - 2 & 5
\end{array} \right] , \mathbf { b } = \left[ \begin{array} { r }
1 \
- 2 \
- 3
\end{array} \right]$$

Question

Determine Whether B Is in the Column Space of A$$A = \left[ \begin{array} { r r r } 
1 & 2 & - 3 \
1 & 4 & - 6 \
- 3 & - 2 & 5
\end{array} \right] , \mathbf { b } = \left[ \begin{array} { r } 
1 \
- 2 \
- 3
\end{array} \right]$$

Examlex · Accepted Answer

The Answer of Determine Whether B Is in the Column Space of A$$A = \left[ \begin{array} { r r r } 
1 & 2 & - 3 \
1 & 4 & - 6 \
- 3 & - 2 & 5
\end{array} \right] , \mathbf { b } = \left[ \begin{array} { r } 
1 \
- 2 \
- 3
\end{array} \right]$$

Determine Whether B Is in the Column Space of A

Definitions: