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Byju's Answer
Standard XII
Mathematics
Addition and Subtraction of a Matrix
Let A = [ 2...
Question
Let
A
=
[
2
1
0
−
2
]
,
B
=
[
4
1
−
3
−
2
]
and
C
=
[
−
3
2
−
1
4
]
. Find
A
2
+
A
C
−
5
B
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Solution
Given:
A
=
[
2
1
0
−
2
]
,
B
=
[
4
1
−
3
−
2
]
,
C
=
[
−
3
2
−
1
4
]
A
2
=
A
⋅
A
=
[
2
1
0
−
2
]
[
2
1
0
−
2
]
=
[
4
+
0
2
−
2
0
+
0
0
+
4
]
=
[
4
0
0
4
]
A
C
=
[
2
1
0
−
2
]
[
−
3
2
−
1
4
]
=
[
−
6
−
1
4
+
4
0
+
2
0
−
8
]
=
[
−
7
8
2
−
8
]
and
5
B
=
5
[
4
1
−
3
−
2
]
=
[
20
5
−
15
−
10
]
No,
A
2
+
A
C
−
5
B
=
[
4
0
0
4
]
+
[
−
7
8
2
−
8
]
−
[
20
5
−
15
−
10
]
=
[
4
−
7
−
20
0
+
8
−
5
0
+
2
+
15
4
−
8
+
10
]
=
[
−
23
3
17
6
]
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0
Similar questions
Q.
State true or false:
If
A
=
[
2
1
0
−
2
]
,
B
=
[
4
1
−
3
−
2
]
and
C
=
[
−
3
2
−
1
4
]
,
then
A
2
+
A
C
−
5
B
=
[
17
13
−
12
−
14
]
Q.
Let
A
=
[
x
+
y
y
2
x
x
−
y
]
,
B
=
[
2
−
1
]
and
C
=
[
3
2
]
.
If
A
B
=
C
, then
A
2
is equal to
Q.
If
(
a
+
b
+
c
)
=
14
and
(
a
2
+
b
2
+
c
2
)
=
74
, find the value of
(
a
c
+
b
c
+
c
a
)
.
Q.
Let
a
1
,
a
2
,
a
3
⋯
be terms of A.P.
I
f
a
1
+
a
2
+
⋯
a
p
a
1
+
a
2
+
⋯
+
a
q
=
p
2
q
2
,
p
≠
q
,
then
a
6
a
21
equal
Q.
In the following frequency distribution of
165
observations, the mode is
34.5
. Find the missing frequencies
a
and
b
.
Class
5
−
14
14
−
23
23
−
32
32
−
41
41
−
50
50
−
59
59
−
68
Frequency
5
11
a
53
b
16
10
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Addition and Subtraction of a Matrix
Standard XII Mathematics
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