Question

If A is an invertible symmetric matrix then
A. $(A^{-1})^{T}=A^{-1}$

B. adj $A=(adj~A)^{T}$

C. $A^{-1}$ is skew-symmetric

D. $|A|=0$

Choose the correct answer from the options given below

• A. A, B only
• B. A, C only
• C. B, C only
• D. C, D only

Hint:

Symmetry is preserved under inversion and adjoint operations. If a matrix starts symmetric, its inverse and adjoint will also be symmetric.

Answer 1

The Correct Option is A