Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If $A=\begin{bmatrix}2&3\\1&-4\end{bmatrix}$ and $B =\begin{bmatrix}1&-2\\-1&3\end{bmatrix}$, then $B^{-1} A^{-1}$ is equal to:

Options:

$-\frac{1}{11}=\begin{bmatrix}14&5\\5&1\end{bmatrix}$

$\frac{1}{11}=\begin{bmatrix}15&11\\1&0\end{bmatrix}$

$\frac{1}{11}=\begin{bmatrix}14&5\\5&1\end{bmatrix}$

$-\frac{1}{11}=\begin{bmatrix}15&11\\1&0\end{bmatrix}$

Correct Answer:

$\frac{1}{11}=\begin{bmatrix}14&5\\5&1\end{bmatrix}$

Explanation:

The correct answer is Option (3) → $\frac{1}{11}=\begin{bmatrix}14&5\\5&1\end{bmatrix}$