A matrix has an inverse if and only if its determinant does not equal 0. Determine whether the given matrix has an
inverse.
-$$\left[ \begin{array} { l l }
7 & 4 \
6 & 9
\end{array} \right]$$
A) Yes
B) No

Question

A matrix has an inverse if and only if its determinant does not equal 0. Determine whether the given matrix has an
inverse.
-$$\left[ \begin{array} { l l } 
7 & 4 \
6 & 9
\end{array} \right]$$
A) Yes
B) No

Quizplus · Accepted Answer

The determinant of the matrix is $7*9 - 4*6 = 63 - 24 = 39$, which is not equal to 0. Therefore, the matrix has an inverse.

A Matrix Has an Inverse If and Only If Its [7469]\left[ \begin{array} { l l } 7 & 4 \\6 & 9\end{array} \right][76​49​]

A Matrix Has an Inverse If and Only If Its $\left[ \begin{array} { l l } 7 & 4 \\6 & 9\end{array} \right]$