The matrix is invertible if and only if k ≠ -(12)/(7)

Name: The matrix < b m a t r i x > is invertible if and only if k ≠ -(12)/(7)
Uploaded: 2024-04-10T18:27:06-08:00
Duration: 1 min 8 s
Channel: Eduard Sanchez
Description: The matrix < b m a t r i x > is invertible if and only if k ≠ -(12)/(7)

Question

The matrix &lt; b m a t r i x &gt; is invertible if and only if k ≠ -(12)/(7)

Eduard Sanchez · Accepted Answer

Step 1: A matrix is invertible if and only if its determinant is not equal to zero.

Question

The matrix $\begin{bmatrix} -7 & -6 \ -2 & k \end{bmatrix}$ is invertible if and only if $k \neq -\frac{12}{7}$

Please give Ace some feedback