$$\text { Let } A = \left[ \begin{array} { r r }
1 & - 4 \
4 & 6
\end{array} \right] \text { and } B = \left[ \begin{array} { r r }
1 & - 4 \
4 & 6
\end{array} \right]$$ Does the matrix A - B have an inverse?
A) Yes
B) No

Question

$$\text { Let } A = \left[ \begin{array} { r r } 
1 & - 4 \
4 & 6
\end{array} \right] \text { and } B = \left[ \begin{array} { r r } 
1 & - 4 \
4 & 6
\end{array} \right]$$ Does the matrix A - B have an inverse?
A) Yes
B) No

Quizplus · Accepted Answer

The matrix $A - B$ results in a zero matrix since $A$ and $B$ are identical. The zero matrix does not have an inverse because its determinant is 0, and a matrix has an inverse only if its determinant is non-zero.

Does the Matrix a - B Have an Inverse? A)

Does the Matrix a - B Have an Inverse?
A)