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Class VI
Class VII
Class VIII
Class IX
Class X
ICSE Grade X - Matrices
Question
1
1.
If A =
[
a
11
a
12
a
13
a
21
a
22
a
23
a
31
a
32
a
33
]
and B =
[
b
11
b
12
b
13
b
21
b
22
b
23
b
31
b
32
b
33
]
,
then
(
A
+
B
)
=
[
a
11
+
b
11
a
21
+
b
21
a
31
+
b
31
a
12
+
b
12
a
22
+
b
22
a
32
+
b
32
a
13
+
b
13
a
23
+
b
23
a
33
+
b
33
]
[
a
11
+
b
11
a
21
+
b
12
a
31
+
b
13
a
12
+
b
21
a
22
+
b
22
a
32
+
b
23
a
13
+
b
31
a
23
+
b
32
a
33
+
b
33
]
[
a
11
b
11
+
a
12
b
21
+
a
13
b
31
a
11
b
12
+
a
12
b
22
+
a
13
b
32
a
11
b
13
+
a
12
b
23
+
a
13
b
33
a
21
b
11
+
a
22
b
21
+
a
23
b
31
a
21
b
12
+
a
22
b
22
+
a
23
b
32
a
21
b
13
+
a
22
b
23
+
a
23
b
33
a
31
b
11
+
a
32
b
21
+
a
33
b
31
a
31
b
12
+
a
32
b
22
+
a
33
b
32
a
31
b
13
+
a
32
b
23
+
a
33
b
33
]
[
a
11
+
b
11
a
12
+
b
12
a
13
+
b
13
a
21
+
b
21
a
22
+
b
22
a
23
+
b
23
a
31
+
b
31
a
32
+
b
32
a
33
+
b
33
]
Question
2
2.
The order of matrix A =
[
-4
0
5
]
is
1 ✕ 3
2 ✕ 4
1 ✕ 4
3 ✕ 1
2 ✕ 3
Question
3
3.
If A =
[
a
11
a
12
a
21
a
22
]
and B =
[
b
11
b
12
b
21
b
22
]
,
then
(
A
−
B
)
=
[
a
11
−
b
11
a
12
−
b
12
a
21
−
b
21
a
22
−
b
22
]
[
a
11
b
11
+
a
12
b
21
a
11
b
12
+
a
12
b
22
a
21
b
11
+
a
22
b
21
a
21
b
12
+
a
22
b
22
]
[
a
11
−
b
11
a
21
−
b
21
a
12
−
b
12
a
22
−
b
22
]
[
a
11
−
b
11
a
21
−
b
12
a
12
−
b
21
a
22
−
b
22
]
Question
4
4.
If A =
[
5
-8
6
5
]
, the value of -A =
[
-8
8
-6
-5
]
[
-5
9
-6
-5
]
[
-5
8
-6
-5
]
[
-5
11
-6
-5
]
[
-5
7
-6
-5
]
Question
5
5.
If A =
[
-2
3
-1
-2
]
, then find AI
[
-2
3
-4
-2
]
[
-2
3
-1
-1
]
[
-2
3
-1
-2
]
[
-2
2
-1
-2
]
[
-2
5
-1
-2
]
Question
6
6.
Matrix A =
[
4
-3
3
-2
-2
-4
-4
3
-4
]
is the additive inverse of
[
-4
2
-3
2
2
4
4
-3
4
]
[
-4
3
-3
2
2
4
4
-3
7
]
[
-4
3
-2
2
2
4
4
-3
4
]
[
-4
3
-3
2
2
2
4
-3
4
]
[
-4
3
-3
2
2
4
4
-3
4
]
Question
7
7.
If A =
[
4
8
8
-1
]
, B =
[
9
1
-4
0
]
and C =
[
-1
2
1
-7
]
,
then A
+
4
B
+
8
C =
[
32
28
-2
-57
]
[
35
28
0
-57
]
[
32
28
0
-57
]
[
32
28
-1
-57
]
[
33
28
0
-57
]
Question
8
8.
Find
[
x
y
]
[
a
b
c
d
]
[
x
y
]
[
x
2
a
+
y
c
x
+
x
b
y
+
y
2
d
]
[
x
2
+
y
2
]
[
x
2
a
+
x
y
c
x
2
b
+
x
y
d
y
x
a
+
y
2
c
y
x
b
+
y
2
d
]
[
x
a
y
+
y
2
b
+
x
2
c
+
y
d
x
]
[
x
2
a
+
y
b
x
+
x
c
y
+
y
2
d
]
Question
9
9.
If A =
[
-1
1
-2
0
0
0
]
and B =
[
1
1
-1
-1
-2
-1
]
, then A
✕
B =
[
2
-2
0
0
]
[
-1
1
-2
1
-1
2
2
-2
4
]
[
2
0
0
0
]
[
-1
1
2
1
-1
-2
-2
2
4
]
[
4
0
0
0
]
Question
10
10.
Which of the following are true?
a)
An identity matrix is a square matrix
b)
A column matrix is a square matrix
c)
A row matrix is a square matrix
d)
A null matrix is a square matrix
{b,a}
{a}
{c,a}
{d,b,a}
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