Let A, B, C be 3 × 3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements…

Question

Let $$A, B, C$$ be $$3 	imes 3$$ 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:

Accepted Answer

A. Only S2 is true

Answer

B. Only S1 is true

Answer

C. Both S1 and S2 are false

Answer

D. Both S1 and S2 are true

Answer & step-by-step solution