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If and B = bmatrix ^2 & & ^2 bmatrix are two matrices such that is the null matrix
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem If A = [ cos 2 α cos α sin α cos α sin α sin 2 α ] A = \begin{bmatrix} \cos^2 \alpha & \cos \alpha \sin \alpha \\ \cos \alpha \sin \alpha & \sin^2 \alpha \end{bmatrix} A = [ cos 2 α cos α sin α cos α sin α sin 2 α ] and
B = [ cos 2 β cos β sin β cos β sin β sin 2 β ] B = \begin{bmatrix} \cos^2 \beta & \cos \beta \sin \beta \\ \cos \beta \sin \beta & \sin^2 \beta \end{bmatrix} B = [ cos 2 β cos β sin β cos β sin β sin 2 β ]
are two matrices such that A B AB A B is the null matrix, then
(1) α = β \alpha = \beta α = β
(2) cos ( α − β ) = 0 \cos(\alpha - \beta) = 0 cos ( α − β ) = 0
(3) sin ( α − β ) = 0 \sin(\alpha - \beta) = 0 sin ( α − β ) = 0
(4) None of these
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