If A= a&b &a and A^2= & & , then: - Vidyadip

MCQ

If $\text{A}=\begin{bmatrix}\text{a}&\text{b}\\\text{b}&\text{a}\end{bmatrix}$ and $\text{A}^2=\begin{bmatrix}\alpha&\beta\\\beta&\alpha\end{bmatrix},$ then:

A
$\alpha=\text{a}^2+\text{b}^2,\beta=\text{ab}$
✓
$\alpha=\text{a}^2+\text{b}^2,\beta=2\text{ab}$
C
$\alpha=\text{a}^2+\text{b}^2,\beta=\text{a}^2-\text{b}^2$
D
$\alpha=2\text{ab},\beta=\text{a}^2+\text{b}^2$

✓

Answer

Correct option: B.

$\alpha=\text{a}^2+\text{b}^2,\beta=2\text{ab}$

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