Question

If $A_{n×n}$ such that A is real matrix and B is any matrix which is obtained from A by interchanging any two rows then pick the true statements?

• A. if A is invertible so B will be also.
• B. |B| = |A|
• C. if Trace (A) = 0 then Trace (B) = 0
• D. if A is symmetric then B is also symmetric.

Answer 1

Answer: (A), (B)

if A is invertible so B will be also.

Answer 2

The correct option is(A and B): if A is invertible so B will be also and**|B| = |A|.**