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Matrices and Determinants question

2020 · 6 Sep · Shift 2 · Q35

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JEE Main
Mathematics
Matrices and Determinants
2020 · 6 Sep · Shift 2 · Q35

Matrices and Determinants question

2020 · 6 Sep · Shift 2 · Q35

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

\theta = {\pi \over 5}

and

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

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

A
lies in (1, 2)
B
lies in (2, 3).
C
is zero.
D
is one.

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