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Matrices and Determinants question

2022 · 25 Jun · Shift 1 · Q31

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JEE Main
Mathematics
Matrices and Determinants
2022 · 25 Jun · Shift 1 · Q31

Matrices and Determinants question

2022 · 25 Jun · Shift 1 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A = \left[ {\begin{matrix} 0 & { - 2} \\ 2 & 0 \\ \end{matrix} } \right]

. If M and N are two matrices given by

M = \sum\limits_{k = 1}^{10} {{A^{2k}}}

and

N = \sum\limits_{k = 1}^{10} {{A^{2k - 1}}}

then MN2 is :

A
a non-identity symmetric matrix
B
a skew-symmetric matrix
C
neither symmetric nor skew-symmetric matrix
D
an identity matrix

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