Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Algebra

Question:

The matrix $A=\begin{bmatrix}2 & 0 &0 \\0 & -1 & 0\\0 & 0 & 2\end{bmatrix}$ then $A^{-1}$ is equal to :

Options:

$\begin{bmatrix}1 & 0 &0 \\0 & -1 & 0\\0 & 0 & 2\end{bmatrix}$

$\begin{bmatrix}\frac{1}{2} & 0 &0 \\0 & -\frac{1}{6} & 0\\0 & 0 & \frac{1}{2}\end{bmatrix}$

$\begin{bmatrix}\frac{1}{2} & 0 &0 \\0 & -1 & 0\\0 & 0 & \frac{1}{3}\end{bmatrix}$

$\begin{bmatrix}1 & 0 &0 \\0 & 2 & 0\\0 & 0 & -3\end{bmatrix}$

Correct Answer:

$\begin{bmatrix}\frac{1}{2} & 0 &0 \\0 & -1 & 0\\0 & 0 & \frac{1}{3}\end{bmatrix}$