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Byju's Answer
Standard IX
Mathematics
Multiplication of Matrices
If A = begin ...
Question
If
A
=
⎡
⎢
⎣
1
2
3
−
2
3
−
1
3
1
2
⎤
⎥
⎦
and I is a unit matrix of
3
r
d
order, then
(
A
2
+
9
I
)
equals
A
2A
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B
4A
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C
6A
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D
None of these
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Solution
The correct option is
D
None of these
A
=
⎡
⎢
⎣
1
2
3
−
2
3
−
1
3
1
2
⎤
⎥
⎦
⇒
A
.
A
=
A
2
=
⎡
⎢
⎣
6
11
7
−
11
4
−
11
7
11
12
⎤
⎥
⎦
,
I
=
⎡
⎢
⎣
1
0
0
0
1
0
0
0
1
⎤
⎥
⎦
, then,
A
2
+
9
I
=
⎡
⎢
⎣
15
11
7
−
11
13
−
11
7
11
21
⎤
⎥
⎦
.
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Similar questions
Q.
If
A
=
⎡
⎢
⎣
1
2
3
−
2
3
−
1
3
1
2
⎤
⎥
⎦
and I is a unit matrix of
3
r
d
order, then
(
A
2
+
9
I
)
equals
Q.
If
A
=
⎡
⎢
⎣
1
2
3
−
2
3
−
1
3
1
2
⎤
⎥
⎦
and I is a unit matrix of
3
r
d
order, then
(
A
2
+
9
I
)
equals
Q.
If
A
=
⎡
⎢
⎣
−
1
2
3
−
2
3
−
1
3
1
2
⎤
⎥
⎦
, and
I
is the unit matrix of order
3
, then
A
2
+
9
I
is equal to
Q.
If
A
=
[
3
−
2
5
4
]
,
B
=
[
1
4
6
−
7
]
, then find the matrix
A
−
4
B
+
7
I
, where I is the unit matrix of order 2.
Q.
If
A
=
[
1
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2
3
]
and
I
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, then
A
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−
4
A
+
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