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Byju's Answer
Standard XII
Mathematics
Integration of Piecewise Continuous Functions
If A is non...
Question
I
f
A
is non-singular and
(
A
−
2
I
)
(
A
−
4
I
)
=
0
then
1
6
A
+
4
3
A
−
1
=
A
I
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B
0
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C
2
I
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D
6
I
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Solution
The correct option is
A
I
(
A
−
2
I
)
(
A
−
4
I
)
=
0
⇒
A
2
−
6
A
+
8
I
=
0
Pre-multiply by
A
−
1
A
−
6
I
+
8
A
−
1
=
0
⇒
1
6
A
+
4
3
A
−
1
=
I
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0
Similar questions
Q.
If
A
is nonsingular and
(
A
−
2
I
)
(
A
−
4
I
)
=
0
, then
1
6
A
+
4
3
A
−
1
is equal to
Q.
If
A
is a non-singular matrix such that
(
A
−
2
I
)
(
A
−
4
I
)
=
O
, where
I
is an identity matrix of the same order as that of
A
. Then
1
6
A
+
4
3
A
−
1
is equal to:
Q.
lf
A
is non-singular and
(
A
+
I
)
(
A
−
3
I
)
=
0
then
3
A
−
1
−
A
+
2
I
Q.
Suppose A is a non-singular matrix such that
A
3
−
3
A
2
+
6
A
−
I
=
0.
T
h
e
n
,
A
−
1
=
___
Q.
Suppose A is a non-singular matrix such that
A
3
−
3
A
2
+
6
A
−
I
=
0.
T
h
e
n
,
A
−
1
=
___
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