defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Determinants Evaluation of Determinants
If \(\rm A = \begin{bmatrix} \sqrt2 & 1 \\[0.3em] -1 & \sqrt2 \\[0.3em] \end{bmatrix}\), \(\rm B = \begin{bmatrix} 1 & 0 \\[0.3em] 1 & 1 \\[0.3em] \end{bmatrix}\), C = ABAT and X = ATC2A, then det X is equal to :
1
243
2
729
3
27
4
891