Class 12

3 and 4 .Determinants and Matrices question bank (Maths)

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Q1.

If $A = \begin{bmatrix} \cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha \end{bmatrix}$ and $B = \begin{bmatrix} \cos \beta & -\sin \beta \\ \sin \beta & \cos \beta \end{bmatrix}$,then the correct relation is

(A)
$A^2 = B^2$
(B)
$A + B = B - A$
(C)
$AB = BA$
(D)
None of these
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Q2.

$AB = 0$,if and only if

(A)
$A \neq O, B = O$
(B)
$A = O, B \neq O$
(C)
$A = O$ or $B = O$
(D)
None of these
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