JEEMaths

Let \(A, B, C\) be \(3 \times 3\) matrices such that \(A\) is symmetric and \(B\) and \(C\) are skew-symmetric. Consider…

PYQ

Let \(A, B, C\) be \(3 \times 3\) matrices such that \(A\) is symmetric and \(B\) and \(C\) are skew-symmetric.

Consider the statements

(S1) \(A^{13} B^{26}-B^{26} A^{13}\) is symmetric
(S2) \(A^{26} C^{13}-C^{13} A^{26}\) is symmetric
Then,

\(\text { Only } S 2 \text { is true }\)

\(\text { Only } S 1 \text { is true }\)

\(\text { Both S1 and S2 are false }\)

\(\text { Both } S 1 \text { and } S 2 \text { are true }\)

🔒

Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149

Practice more JEE Maths PYQs

See every question on Matrices, or browse the full JEE question bank.