Determine whether the matrix is invertible.
-$$\left[ \begin{array} { r r r }
9 & 5 & - 9 \
4 & 2 & - 4 \
- 3 & 0 & 3
\end{array} \right]$$
A) Yes
B) $\mathrm { No }$

Question

Determine whether the matrix is invertible.
-$$\left[ \begin{array} { r r r } 
9 & 5 & - 9 \
4 & 2 & - 4 \
- 3 & 0 & 3
\end{array} \right]$$
A) Yes
B) $\mathrm { No }$

Quizplus · Accepted Answer

A matrix is invertible if its determinant is non-zero. The determinant of this matrix is $0$ (since the second row is a multiple of the first row, indicating linear dependence among rows), thus it is not invertible.

Determine Whether the Matrix Is Invertible [95−942−4−303]\left[ \begin{array} { r r r } 9 & 5 & - 9 \\4 & 2 & - 4 \\- 3 & 0 & 3\end{array} \right]​94−3​520​−9−43​​

Determine Whether the Matrix Is Invertible $\left[ \begin{array} { r r r } 9 & 5 & - 9 \\4 & 2 & - 4 \\- 3 & 0 & 3\end{array} \right]$