if [aij] 3*3 where aij is 2(i+j) find A and AT
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Step-by-step explanation:
Given:
A=[a
ij
]
(3×3)
where, a
ij
=i
2
−j
2
∴a
ij
=0 if i=j
Now,
a
12
=1
2
−2
2
=−3
a
13
=1
2
−3
2
=−8
a
21
=2
2
−1
2
=3
a
23
=2
2
−3
2
=−5
a
31
=3
2
−1
2
=8
a
32
=3
2
−2
2
=5
∴A=
⎣
⎢
⎢
⎡
0
3
8
−3
0
5
−8
−5
0
⎦
⎥
⎥
⎤
Here, A
T
=−A
∴ A is a skew-symmetric matrix.
hope it help you
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