Let … and …. If B = A + A⁴ , then det (B) :

Matrices and Determinants

JEE Main 2020 · 6 Sep, Evening shift · Q4458

MathematicsHard244×since 2002Q4458

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

MathematicsHard244×since 2002Q4458

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) :