Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If $A=\begin{bmatrix}1&0&0\\0&1&0\\a&b&-1\end{bmatrix}$, then $A^2$ is equal to

Options:

a null matrix

a unit matrix

$-A$

$A$

Correct Answer:

a unit matrix

Explanation:

We have,

$A^2=\begin{bmatrix}1&0&0\\0&1&0\\a&b&-1\end{bmatrix}\begin{bmatrix}1&0&0\\0&1&0\\a&b&-1\end{bmatrix}=\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}$ = a unit matrix.