If A = √2 1 -1 √2, B = 1 0 1 1, C = ABA^T, and X = A^T C² A, then… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 1 February, Shift 1Properties of Determinants

If $A = \begin{bmatrix} \sqrt{2} & 1 \\ -1 & \sqrt{2} \end{bmatrix}$ , $B = \begin{bmatrix} 1 & 0 \\ 1 & 1 \end{bmatrix}$ , $C = ABA^T$ , and $X = A^T C^2 A$ , then $\det(X)$ is equal to:

A
$243$
B
$729$
C
$27$
D
$891$

Answer & step-by-step solution

Practice more Properties of Determinants questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Properties of Determinants

Answer & step-by-step solution

Practice more Properties of Determinants questions

Related questions