Let θ = (π)/5 and A = [ cos θ sin θ - sin θ cos θ ]. If B = A + A⁴, then det (B):

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 6 Sep, Evening shift · Q4458

JEE Main 20206 Sep, Evening shiftMathematicsHardMatrices and Determinants245× since 2002

Let

\theta = {\pi \over 5}

and

A = \left[ {\matrix{ {\cos \theta } & {\sin \theta } \cr { - \sin \theta } & {\cos \theta } \cr } } \right]

. If B = A + A⁴ , then det (B) :

JEE Main 2020 · 6 Sep, Evening shift · Q4458

JEE Main 20206 Sep, Evening shiftMathematicsHardMatrices and Determinants245× since 2002

Let

\theta = {\pi \over 5}

and

A = \left[ {\matrix{ {\cos \theta } & {\sin \theta } \cr { - \sin \theta } & {\cos \theta } \cr } } \right]

. If B = A + A⁴ , then det (B) :