EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Matrices
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If A =
[
-1
-1
-2
2
0
0
]
and B =
[
3
2
-1
-2
3
0
]
, then A
✕
B =
(i)
[
1
-3
-3
-3
1
-3
-6
2
-6
]
(ii)
[
1
-3
-6
-3
1
2
-3
-3
-6
]
(iii)
[
-8
-2
6
4
]
(iv)
[
-8
0
6
4
]
(v)
[
-8
3
6
4
]
Question
2
2.
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
)
=
(i)
[
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
]
(ii)
[
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
]
(iii)
[
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
]
(iv)
[
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
]
Question
3
3.
If A =
[
4
2
-1
-3
-2
-4
-4
-1
0
]
and B =
[
-3
3
-3
4
3
-2
2
0
-2
]
, then A
+
B =
(i)
[
1
5
-4
1
1
-6
-4
-1
-2
]
(ii)
[
1
5
-4
1
1
-6
-2
-1
-3
]
(iii)
[
1
5
-4
1
1
-5
-2
-1
-2
]
(iv)
[
1
5
-4
1
1
-6
-2
-1
1
]
(v)
[
1
5
-4
1
1
-6
-2
-1
-2
]
Question
4
4.
Which of the following is an identity matrix ?
(i)
[
1
1
0
1
]
(ii)
[
1
0
0
3
]
(iii)
[
-2
0
0
1
]
(iv)
[
1
0
0
1
]
(v)
[
0
0
0
1
]
Question
5
5.
Given A =
[
9
-9
-9
5
]
and B =
[
a
−
1
4
b
−
1
4
]
,
if BA = I find a and b
(i)
a =
(
-1
6
)
, b =
(
-1
2
)
(ii)
a =
(
-5
36
)
, b =
(
-1
6
)
(iii)
a =
(
-1
2
)
, b =
(
-1
4
)
(iv)
a =
(
-5
36
)
, b =
(
-1
4
)
Question
6
6.
If A =
[
-9
0
-1
-5
]
, B =
[
4
0
7
2
]
and C =
[
0
-9
-9
7
]
,
then compute
A
2
+
BC =
(i)
[
81
-36
-4
-24
]
(ii)
[
80
-36
-4
-24
]
(iii)
[
81
-36
-4
-22
]
(iv)
[
81
-35
-4
-24
]
(v)
[
81
-36
-4
-26
]
Question
7
7.
Which of the following pairs of matrices can be multiplied?
(i)
[
-4
-1
5
-4
]
,
[
2
-3
]
(ii)
[
-4
-1
5
-4
]
,
[
8
-9
-3
0
]
(iii)
[
5
7
8
]
,
[
1
-5
-8
7
-5
-8
]
(iv)
[
-4
-1
5
-4
]
,
[
8
7
-5
-9
-8
9
]
(v)
[
-4
-3
-7
]
,
[
8
7
-5
-9
-8
9
]
Question
8
8.
Which of the following is a row matrix
(i)
[
6
2
8
]
(ii)
[
7
9
]
(iii)
[
5
1
3
8
1
]
(iv)
[
9
2
8
7
]
(v)
[
5
2
4
]
Question
9
9.
Which of the following matrices is a
2 ✕ 1
matrix ?
(i)
[
4
3
5
]
(ii)
[
2
8
]
(iii)
[
5
3
9
8
]
(iv)
[
4
6
]
(v)
[
3
2
7
3
8
2
]
Question
10
10.
The order of matrix A =
[
3
1
-4
]
is
(i)
3 ✕ 1
(ii)
1 ✕ 4
(iii)
2 ✕ 4
(iv)
2 ✕ 3
(v)
1 ✕ 3
Question
11
11.
Which of the following pairs of matrices can be multiplied?
(i)
[
-5
-9
4
-1
]
,
[
-5
-8
]
(ii)
[
-5
-9
4
-1
]
,
[
7
0
-2
9
9
-4
]
(iii)
[
-8
-8
-4
]
,
[
7
0
-2
9
9
-4
]
(iv)
[
7
0
-2
9
9
-4
]
,
[
7
5
-9
-6
-1
9
]
(v)
[
0
-4
-8
]
,
[
7
5
-9
-6
-1
9
]
Question
12
12.
If A =
[
-4
-3
-8
6
]
, B =
[
5
-5
0
-8
]
and C =
[
-9
-2
3
-9
]
,
then A
+
3
B
+
3
C =
(i)
[
-16
-24
2
-45
]
(ii)
[
-16
-25
1
-45
]
(iii)
[
-16
-24
1
-43
]
(iv)
[
-16
-24
1
-45
]
(v)
[
-16
-27
1
-45
]
Question
13
13.
If A =
[
2
-1
-3
-1
]
, B =
[
-2
3
1
-3
]
and C =
[
1
3
-3
0
]
,
then (A
−
B)
+
C =
(i)
[
3
-1
-7
2
]
(ii)
[
5
-1
-7
1
]
(iii)
[
5
1
-7
2
]
(iv)
[
5
-1
-7
2
]
(v)
[
5
-1
-7
3
]
Question
14
14.
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
)
=
(i)
[
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
]
(ii)
[
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
]
(iii)
[
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
]
(iv)
[
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
15
15.
If A =
[
-2
2
0
-1
-2
-2
3
2
2
]
, then
A
2
=
(i)
[
2
-6
-4
-2
-2
0
-2
6
0
]
(ii)
[
2
-8
-4
-1
-2
0
-2
6
0
]
(iii)
[
2
-8
-4
-2
-2
0
-2
6
0
]
(iv)
[
2
-8
-4
-5
-2
0
-2
6
0
]
(v)
[
2
-8
-4
-2
-2
0
-3
6
0
]
Question
16
16.
If A =
[
-8
-2
8
2
]
and C =
[
-50
50
]
,
find a matrix B satisfying A
✕
B = C
(i)
[
8
-6
]
(ii)
[
7
-7
]
(iii)
[
6
-7
]
(iv)
[
8
-7
]
(v)
[
11
-7
]
Question
17
17.
If A =
[
-6
3
-3
7
]
and B =
[
-5
-1
6
-6
]
, then A
−
B =
(i)
[
0
4
-9
13
]
(ii)
[
-1
6
-9
13
]
(iii)
[
-1
4
-9
12
]
(iv)
[
-1
4
-9
13
]
(v)
[
-1
2
-9
13
]
Question
18
18.
The order of matrix A =
[
-1
2
4
4
]
is
(i)
3 ✕ 2
(ii)
2 ✕ 1
(iii)
1 ✕ 2
(iv)
2 ✕ 2
(v)
2 ✕ 3
Question
19
19.
Which of the following are true?
a)
A null matrix is a square matrix
b)
A row matrix is a square matrix
c)
An identity matrix is a square matrix
d)
A column matrix is a square matrix
(i)
{d,a,c}
(ii)
{c}
(iii)
{a,c}
(iv)
{b,c}
Question
20
20.
The order of matrix A =
[
-3
4
-5
-1
0
3
]
is
(i)
3 ✕ 2
(ii)
2 ✕ 3
(iii)
2 ✕ 2
(iv)
3 ✕ 3
(v)
4 ✕ 2
Question
21
21.
If A =
[
1
4
1
-1
]
, then find AI
(i)
[
1
3
1
-1
]
(ii)
[
1
4
1
-1
]
(iii)
[
1
4
1
2
]
(iv)
[
1
4
2
-1
]
(v)
[
1
2
1
-1
]
Question
22
22.
Which of the following pairs of matrices can be multiplied?
(i)
[
-3
-7
]
,
[
-6
-1
]
(ii)
[
-4
-1
-1
-4
]
,
[
-3
-7
]
(iii)
[
-4
-1
-1
-4
]
,
[
5
5
-8
4
-1
-7
]
(iv)
[
7
9
-5
]
,
[
5
5
-8
4
-1
-7
]
(v)
[
8
6
6
]
,
[
-5
-5
-4
-2
2
-3
]
Question
23
23.
If A =
[
-8
-8
-5
-3
]
, then find B satisfying A
✕ B = A
(i)
[
1
0
0
1
]
(ii)
[
1
-3
0
1
]
(iii)
[
1
-1
0
1
]
(iv)
[
2
0
0
1
]
(v)
[
4
0
0
1
]
Question
24
24.
Which of the following matrices is a
3 ✕ 3
matrix ?
(i)
[
5
5
3
6
9
4
2
8
3
3
1
6
1
8
2
4
]
(ii)
[
8
2
9
2
1
9
9
5
5
9
5
5
7
6
9
9
]
(iii)
[
9
2
4
3
6
8
9
7
4
1
1
8
]
(iv)
[
4
2
1
1
7
8
2
1
3
8
4
5
]
(v)
[
5
3
7
4
1
4
5
2
8
]
Question
25
25.
If A and B are given as below, neither
(
A
✕
B
)
nor
(
B
✕
A
)
is possible for which of the following pairs?
(i)
1 ✕ 2 , 2 ✕ 1
(ii)
3 ✕ 1 , 1 ✕ 3
(iii)
1 ✕ 2 , 2 ✕ 3
(iv)
1 ✕ 3 , 2 ✕ 3
(v)
2 ✕ 3 , 3 ✕ 1
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (iv)
5) (iv)
6) (i)
7) (ii)
8) (i)
9) (ii)
10) (v)
11) (iv)
12) (iv)
13) (iv)
14) (iv)
15) (iii)
16) (iv)
17) (iv)
18) (iv)
19) (ii)
20) (i)
21) (ii)
22) (i)
23) (i)
24) (v)
25) (iv)
