A matrix has an inverse if and only if its determinant does not equal 0. Determine whether the given matrix has an
inverse.
-$$\left[ \begin{array} { l l l }
3 & 6 & 5 \
6 & 4 & 6 \
2 & 3 & 5
\end{array} \right]$$
A) No
B) Yes

Question

A matrix has an inverse if and only if its determinant does not equal 0. Determine whether the given matrix has an
inverse.
-$$\left[ \begin{array} { l l l } 
3 & 6 & 5 \
6 & 4 & 6 \
2 & 3 & 5
\end{array} \right]$$
A) No
B) Yes

Quizplus · Accepted Answer

The determinant of the matrix is non-zero, which means the matrix has an inverse. Calculating the determinant of the given matrix, we find it is not equal to 0, thus confirming the matrix is invertible.

A Matrix Has an Inverse If and Only If Its [365646235]\left[ \begin{array} { l l l } 3 & 6 & 5 \\6 & 4 & 6 \\2 & 3 & 5\end{array} \right]​362​643​565​​

A Matrix Has an Inverse If and Only If Its $\left[ \begin{array} { l l l } 3 & 6 & 5 \\6 & 4 & 6 \\2 & 3 & 5\end{array} \right]$