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Question
Mathematics
If A = [ cosα& sinα - sinα& cosα] , then AA' =
Q. If
A
=
[
cos
α
−
sin
α
sin
α
cos
α
]
, then
A
A
′
=
2898
158
KCET
KCET 2018
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A
A
11%
B
Zero matrix
23%
C
A'
11%
D
I
55%
Solution:
A
A
′
=
[
cos
α
−
sin
α
sin
α
cos
α
]
[
cos
α
sin
α
−
sin
α
cos
α
]
=
[
1
0
0
1
]
=
I