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Matrices and Determinants question

2021 · 26 Aug · Shift 1 · Q32

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JEE Main
Mathematics
Matrices and Determinants
2021 · 26 Aug · Shift 1 · Q32

Matrices and Determinants question

2021 · 26 Aug · Shift 1 · Q32

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If

A = \left( {\begin{matrix} {{1 \over {\sqrt 5 }}} & {{2 \over {\sqrt 5 }}} \\ {{{ - 2} \over {\sqrt 5 }}} & {{1 \over {\sqrt 5 }}} \\ \end{matrix} } \right)

,

B = \left( {\begin{matrix} 1 & 0 \\ i & 1 \\ \end{matrix} } \right)

,

i = \sqrt { - 1}

, and Q = ATBA, then the inverse of the matrix A Q2021 AT is equal to :

A
$\left( {\begin{matrix} {{1 \over {\sqrt 5 }}} & { - 2021} \\ {2021} & {{1 \over {\sqrt 5 }}} \\ \end{matrix} } \right)$
B
$\left( {\begin{matrix} 1 & 0 \\ { - 2021i} & 1 \\ \end{matrix} } \right)$
C
$\left( {\begin{matrix} 1 & 0 \\ {2021i} & 1 \\ \end{matrix} } \right)$
D
$\left( {\begin{matrix} 1 & { - 2021i} \\ 0 & 1 \\ \end{matrix} } \right)$

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