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Byju's Answer
Standard XII
Mathematics
First Fundamental Theorem of Calculus
If P is an ...
Question
If
P
is an orthogonal matrix and
Q
=
P
A
P
T
and
B
=
P
T
Q
1000
P
, then
B
−
1
is, where
A
is involutory matrix,
A
A
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B
A
1000
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C
I
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D
None of these
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Solution
The correct option is
B
I
Given
θ
=
P
A
P
T
,
B
=
P
T
Q
1000
P
and
A
is inventory matrix is
A
2
=
I
B
=
P
T
Q
1000
P
=
P
T
(
P
A
P
T
)
1000
P
=
P
T
(
P
A
P
T
)
(
P
A
P
T
)
999
P
=
I
A
P
T
(
P
A
P
T
)
999
P
[
∵
P
T
P
=
I
]
=
A
P
T
(
P
A
P
T
)
(
P
A
P
T
)
998
P
=
A
I
A
P
T
(
P
A
P
T
)
998
P
=
A
2
P
T
(
P
A
P
T
)
998
P
=
A
1000
P
T
P
=
A
1000
=
I
[
∵
A
2
=
I
]
As
A
=
I
,
A
−
1
=
I
Option
C
is correct
Suggest Corrections
0
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If true enter 1 else enter 0
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