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Tardigrade
Question
Mathematics
If A is a square matrix, then A -A' is a
Q. If
A
is a square matrix, then
A
−
A
′
is a
2034
213
Matrices
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A
diagonal matrix
6%
B
skew-symmetric matrix
78%
C
symmetric matrix
14%
D
none of these
2%
Solution:
As
(
A
−
A
′
)
′
=
A
′
−
(
A
′
)
′
=
A
′
−
A
=
−
(
A
−
A
′
)
,
therefore,
A
−
A
′
is a skew-symmetric matrix.