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Byju's Answer
Standard XII
Mathematics
Addition and Subtraction of a Matrix
If A=[ -2 ...
Question
If
A
=
[
−
2
3
4
5
]
and
B
=
[
5
2
−
7
3
]
, find the matrix
C
such that
A
+
B
−
C
=
0
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Solution
According to question
A
+
B
−
C
=
0
⇒
C
=
A
+
B
⇒
C
=
[
−
2
3
4
5
]
+
[
5
2
−
7
3
]
⇒
C
=
[
3
5
−
3
8
]
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0
Similar questions
Q.
If
A
=
⎡
⎢
⎣
2
2
−
3
1
4
0
⎤
⎥
⎦
,
B
=
⎡
⎢
⎣
6
2
1
3
0
4
⎤
⎥
⎦
, find matrix
C
such that
A
+
B
+
C
=
0
, where
O
is the zero matrix.
Q.
Given
A
=
⎡
⎢
⎣
1
2
−
3
5
0
2
1
−
1
1
⎤
⎥
⎦
and
B
=
⎡
⎢
⎣
3
−
1
2
4
2
5
2
0
3
⎤
⎥
⎦
.
Find the matrix
C
such that
A
+
2
C
=
B
If
C
=
⎡
⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢
⎣
1
−
3
2
a
−
1
2
1
b
1
2
1
2
1
⎤
⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥
⎦
Find the value of a+b?
Q.
If A =
1
-
3
2
2
0
2
and, B =
2
-
1
-
1
1
0
-
1
, find the matrix C such that A + B + C is zero matrix.
Q.
If A =
9
1
7
8
, B =
1
5
7
12
, find matrix C such that 5A + 3B + 2C is a null matrix.
Q.
If
A
=
[
1
1
1
2
]
,
B
=
[
4
1
3
1
]
,
C
=
[
24
7
31
9
]
, then find matrix
′
X
′
such that
A
X
B
=
C
.
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