Let , where and , with . Then…

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

Let

A=BB^T+CC^T

, where

B=\begin{bmatrix}\cos\theta\\\sin\theta\end{bmatrix}

and

C=\begin{bmatrix}\sin\theta\\-\cos\theta\end{bmatrix}

, with

\theta\in\mathbb{R}

. Then

A

is: (a)

\begin{bmatrix}0&0\\0&0\end{bmatrix}

(b)

\begin{bmatrix}0&1\\1&0\end{bmatrix}

(c)

\begin{bmatrix}1&0\\0&1\end{bmatrix}

(d)

\begin{bmatrix}0&0\\0&1\end{bmatrix}