If the matrix A is both symmetric and skew-symmetric, then
(a) A is a diagonal matrix of order n x n
(b) A is a zero matrix of any order
(c) A is a square matrix
(d) A is zero matrix of order n x n
Answers
Answered by
0
Answer:
If matrix A is symmetric
A
T
=A
If matrix A is skew symmetric
A
T
=−A
Also, diagonal elements are zero
Now, it is given that a matrix A is both symmetric as well as skew symmetric
∴A=A
T
=−A
which is only possible if A is zero matrix
A=[
0
0
0
0
]=A
T
=−A
Therefore option B is correct answer
Similar questions