Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If $A=\begin{pmatrix} cos 2\theta & sin 2\theta \\-sin 2\theta & cos 2\theta \end{pmatrix}, $ then $A^2= $

Options:

$\begin{pmatrix} cos 4\theta & sin 4\theta \\-sin 4\theta & cos 4\theta \end{pmatrix}$

$\begin{pmatrix} cos^2 2\theta & sin^2 2\theta \\sin^2 2\theta & cos^2 2\theta \end{pmatrix}$

$\begin{pmatrix} 1 & 0\\sin 2\theta & cos 2\theta \end{pmatrix}$

$\begin{pmatrix} cos 6\theta & sin 6\theta \\-sin 6\theta & cos 6\theta \end{pmatrix}$

Correct Answer:

$\begin{pmatrix} cos^2 2\theta & sin^2 2\theta \\sin^2 2\theta & cos^2 2\theta \end{pmatrix}$