Question
If A is a square matrix A+AT is symmetric matrix, then
A−AT=
A−AT=
Answer: Option C
:
C
(A−AT)T=AT−(AT)T=AT−A[∵(AT)T=A]=−(A−AT)
So, A−AT is a skew symmetric matrix.
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:
C
(A−AT)T=AT−(AT)T=AT−A[∵(AT)T=A]=−(A−AT)
So, A−AT is a skew symmetric matrix.
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