JEE MAIN - Mathematics Hindi (2021 - 26th August Morning Shift - No. 10)
यदि $$A = \left( {\matrix{
{{1 \over {\sqrt 5 }}} & {{2 \over {\sqrt 5 }}} \cr
{{{ - 2} \over {\sqrt 5 }}} & {{1 \over {\sqrt 5 }}} \cr
} } \right)$$, $$B = \left( {\matrix{
1 & 0 \cr
i & 1 \cr
} } \right)$$, $$i = \sqrt { - 1} $$, और Q = ATBA, तो मैट्रिक्स A Q2021 AT का विपरीत बराबर है :
$$\left( {\matrix{
{{1 \over {\sqrt 5 }}} & { - 2021} \cr
{2021} & {{1 \over {\sqrt 5 }}} \cr
} } \right)$$
$$\left( {\matrix{
1 & 0 \cr
{ - 2021i} & 1 \cr
} } \right)$$
$$\left( {\matrix{
1 & 0 \cr
{2021i} & 1 \cr
} } \right)$$
$$\left( {\matrix{
1 & { - 2021i} \cr
0 & 1 \cr
} } \right)$$
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