If A=\left[\begin{array}{c}\sqrt{2\end{array} , 1 ; -1 , \sqrt{2}]}, B=\left[\begin{array}{cc}1 & 0 \ 1 & 1]\end{array}, C=A B A^T and X = {\A}^{ {\T}} {\C}^2 {\A}, then {\det} {\X} is equal to : [1-Feb-2024 Shift 1]

JEE Main 1-Feb-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 3 of 90

Marks: +1, -0

If A=[

√2	1
−1	√2

],B=[

1	0
1	1

],C=ABAT and X =ATC2A, then det‌X is equal to :

[1-Feb-2024 Shift 1]

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