Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Algebra

Question:

If $A=\begin{bmatrix}1 & 5\\7 & 12\end{bmatrix}$ and $B=\begin{bmatrix}9 & 1\\7 & 8 \end{bmatrix}, $ then matrix C for which $3A+ 5B + 2C$ is a null matrix is :

Options:

$\begin{bmatrix}-24 & 5\\20 & 6\end{bmatrix}$

$\begin{bmatrix}3& 10\\-20 & 37\end{bmatrix}$

$\begin{bmatrix}-24 & -10\\-28 & -38\end{bmatrix}$

$\begin{bmatrix}-29 & 15\\-36& -27\end{bmatrix}$

Correct Answer:

$\begin{bmatrix}-24 & -10\\-28 & -38\end{bmatrix}$