Determine whether matrix B is the inverse of matrix A by finding the product AB.
-$$A = \left[ \begin{array} { r r r }
2 & - 1 & 0 \
- 1 & 1 & - 2 \
1 & 0 & - 1
\end{array} \right] , B = \left[ \begin{array} { r r r }
1 & - 1 & 2 \
- 3 & - 2 & 4 \
- 1 & 1 & 1
\end{array} \right]$$
A) $B \neq A ^ { - 1 }$
B) $B = A ^ { - 1 }$

Question

Determine whether matrix B is the inverse of matrix A by finding the product AB.
-$$A = \left[ \begin{array} { r r r } 
2 & - 1 & 0 \
- 1 & 1 & - 2 \
1 & 0 & - 1
\end{array} \right] , B = \left[ \begin{array} { r r r } 
1 & - 1 & 2 \
- 3 & - 2 & 4 \
- 1 & 1 & 1
\end{array} \right]$$
A) $B \neq A ^ { - 1 }$
B) $B = A ^ { - 1 }$

Quizplus · Accepted Answer

The product AB must equal the identity matrix for B to be the inverse of A. Calculating AB does not yield the identity matrix, so B is not the inverse of A.

Determine Whether Matrix B Is the Inverse of Matrix a by Finding