If the matrix A is both symmetric and sk...

If the matrix A is both symmetric and skew symmetric, then

A

A is a diagonal matrix

B

A is a zero matrix

C

A is a square matrix

D

None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If a matrix A is both symmetric and skew symmetric, then

Show that the matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric.

If the matrix [(2,3),(5,-1)]=A +B , where A is symmetric and B is skew symmetric, then B=

Express the following matrix as the sum of a symmetric and a skew symmetric matrix and verify your result : [(3,-2,-4),(3,-2,-5),(-1,1,2)] .

Express A as the sum of a symmetric and a skew-symmetric matrix, where A=[(3,5),(-1,2)]

Let A and B be 3xx 3 matrices of real numbers, where A is symmetric and B skew symmetric and (A+B)(A-B)=(A-B)(A+B) . If (A B)^prime=(-1)^n A B then,

If A is symmetric as well as skew-symmetric matrix, then A is

For any square matrix A with real numbers, prove that A + A' is a symmetric and A - A' is a skew symmetric.

Express [{:(1, 5), (-1, 2)] as the sum of symmetric and skew symmetric matrices.