EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Matrices
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If A =
[
1
2
9
8
]
and B =
[
1
8
1
1
]
, find
A
2
+
B
2
+
2AB
(i)
[
34
54
118
251
]
(ii)
[
34
57
117
251
]
(iii)
[
34
54
116
251
]
(iv)
[
34
54
117
251
]
(v)
[
34
54
117
248
]
Question
2
2.
If A =
[
-1
1
-1
-2
]
, B =
[
2
-2
2
0
]
and C =
[
-2
0
2
-1
]
,
then (A
✕
B)
✕
C =
(i)
[
4
-2
15
-2
]
(ii)
[
4
-2
16
-5
]
(iii)
[
4
-2
16
-1
]
(iv)
[
4
-2
16
-2
]
(v)
[
7
-2
16
-2
]
Question
3
3.
If X + Y =
[
-12
-9
-6
9
]
&
X - Y =
[
-2
7
4
-3
]
, find X and Y
(i)
[
-7
-1
-1
3
]
,
[
-5
-8
-5
6
]
(ii)
[
-7
-1
-1
2
]
,
[
-5
-8
-5
6
]
(iii)
[
-7
-1
-1
3
]
,
[
-5
-8
-3
6
]
(iv)
[
-5
-8
-5
6
]
,
[
-7
-1
-1
3
]
Question
4
4.
If the elements of matrix A are multiplied with 0 , we get
(i)
multiplicative identity of A
(ii)
multiplicative inverse of A
(iii)
additive identity of A
(iv)
additive inverse of A
Question
5
5.
The order of matrix A =
[
4
-4
3
-5
0
1
4
-4
-5
]
is
(i)
4 ✕ 3
(ii)
3 ✕ 2
(iii)
3 ✕ 4
(iv)
3 ✕ 3
(v)
2 ✕ 3
Question
6
6.
If A =
[
1
4
-9
-1
]
, B =
[
-8
1
2
0
]
and C =
[
9
-8
5
7
]
,
then compute
A
2
+
BC =
(i)
[
-100
71
18
-51
]
(ii)
[
-102
71
15
-51
]
(iii)
[
-102
71
18
-51
]
(iv)
[
-102
71
18
-50
]
(v)
[
-102
71
18
-52
]
Question
7
7.
Which of the following matrices is a
2 ✕ 1
matrix ?
(i)
[
1
5
3
2
]
(ii)
[
3
7
1
]
(iii)
[
2
3
]
(iv)
[
5
3
9
2
6
7
]
(v)
[
7
1
]
Question
8
8.
Find the
additive
identity of matrix A =
[
1
1
-7
6
]
(i)
[
0
0
1
0
]
(ii)
[
0
0
0
-2
]
(iii)
[
0
0
0
0
]
(iv)
[
0
0
-1
0
]
(v)
[
0
0
3
0
]
Question
9
9.
If the transpose of a matrix is equal to its additive inverse, that matrix is called ____?
(i)
identity matrix
(ii)
skew symmetric matrix
(iii)
scalar matrix
(iv)
symmetric matrix
Question
10
10.
The number of rows in matrix A =
[
6
4
5
5
5
5
5
4
5
]
is
(i)
3
(ii)
1
(iii)
4
(iv)
2
(v)
5
Question
11
11.
If A =
[
(
−
2
)
2
]
, B =
[
x
y
]
, then
(
A
✕
B
)
=
(i)
[
(
−
2
x
+
2
y
)
]
(ii)
[
(
−
2
x
)
2
x
(
−
2
y
)
2
y
]
(iii)
[
(
−
2
x
)
(
−
2
y
)
2
x
2
y
]
(iv)
[
(
−
2
x
+
2
y
)
(
−
2
x
+
2
y
)
]
(v)
[
(
−
2
x
+
2
y
)
(
−
2
x
+
2
y
)
]
Question
12
12.
If A =
[
1
2
-1
1
-2
3
1
2
0
]
and B =
[
1
1
0
-2
2
-2
1
1
-2
]
, then A
✕
B =
(i)
[
-4
4
-2
8
0
-2
-2
5
-4
]
(ii)
[
-4
4
-2
6
0
-2
-3
5
-4
]
(iii)
[
-4
4
-2
8
0
-2
-3
5
-4
]
(iv)
[
-4
4
-2
8
0
1
-3
5
-4
]
(v)
[
-4
4
-2
8
0
-3
-3
5
-4
]
Question
13
13.
If A =
[
2
-1
1
0
]
and B =
[
3
-3
3
1
]
, then
9
A
+
10
B =
(i)
[
47
-39
39
10
]
(ii)
[
48
-39
39
10
]
(iii)
[
50
-39
39
10
]
(iv)
[
48
-39
40
10
]
(v)
[
48
-39
37
10
]
Question
14
14.
Which of the following is a diagonal matrix ?
(i)
[
7
0
0
0
-4
0
0
0
6
]
(ii)
[
7
0
7
0
-4
0
6
0
6
]
(iii)
[
7
0
-7
0
-4
0
0
0
6
]
(iv)
[
7
0
0
0
-4
0
-7
0
6
]
(v)
[
0
0
7
0
-4
0
6
0
0
]
Question
15
15.
Which of the following matrices is a
1 ✕ 2
matrix ?
(i)
[
1
8
]
(ii)
[
5
2
]
(iii)
[
2
1
4
9
]
(iv)
[
8
1
7
7
5
9
]
(v)
[
9
2
3
]
Question
16
16.
The order of matrix A =
[
-4
0
]
is
(i)
1 ✕ 1
(ii)
1 ✕ 2
(iii)
2 ✕ 1
(iv)
2 ✕ 2
(v)
3 ✕ 1
Question
17
17.
Express the following equation in the matrix form
a
1
x
+
b
1
y
+
c
1
= 0 and
a
2
x
+
b
2
y
+
c
2
= 0
(i)
[
a
1
b
1
a
2
b
2
]
[
x
y
]
+
[
c
1
c
2
]
= 0
(ii)
[
a
1
a
2
b
1
b
2
]
[
x
y
]
+
[
c
1
c
2
]
= 0
(iii)
[
a
1
b
1
a
2
b
2
]
[
x
y
]
[
c
1
c
2
]
= 0
(iv)
[
a
1
b
1
a
2
b
2
]
[
c
1
c
2
]
+
[
x
y
]
= 0
Question
18
18.
If A =
[
5
5
4
8
]
and B =
[
3
9
7
4
]
, find
A
2
−
B
2
(i)
[
-27
2
3
5
]
(ii)
[
-27
2
3
4
]
(iii)
[
-30
2
3
5
]
(iv)
[
-27
4
3
5
]
(v)
[
-27
2
4
5
]
Question
19
19.
If A =
[
1
3
8
1
]
and B =
[
1
8
8
5
]
, find
(
A
−
B
)
2
(i)
[
0
21
0
16
]
(ii)
[
0
20
0
16
]
(iii)
[
0
19
0
16
]
(iv)
[
0
20
2
16
]
(v)
[
0
20
0
13
]
Question
20
20.
Find X if A =
[
8
8
1
8
]
, AX = B and B =
[
-88
-88
-60
-74
]
(i)
[
-3
-2
-7
-9
]
(ii)
[
-4
-4
-7
-9
]
(iii)
[
-4
-2
-7
-9
]
(iv)
[
-4
-2
-7
-6
]
(v)
[
-4
-2
-7
-10
]
Question
21
21.
If A =
[
2
-2
3
1
1
4
2
-3
2
]
, then
7
A =
(i)
[
14
-14
21
7
7
28
14
-21
12
]
(ii)
[
14
-13
21
7
7
28
14
-21
14
]
(iii)
[
14
-14
21
7
7
28
14
-21
14
]
(iv)
[
14
-14
21
7
7
28
14
-21
17
]
(v)
[
14
-14
21
7
7
28
13
-21
14
]
Question
22
22.
If A =
[
2
]
and B =
[
-1
]
, then A
+
B =
(i)
[
2
]
(ii)
[
1
]
(iii)
[
4
]
(iv)
[
0
]
(v)
[
-2
]
Question
23
23.
If A =
[
a
11
a
12
a
13
a
21
a
22
a
23
]
and B =
[
b
11
b
12
b
21
b
22
b
31
b
32
]
,
then
(
A
✕
B
)
=
(i)
[
b
11
a
11
+
b
12
a
21
b
11
a
12
+
b
12
a
22
b
11
a
13
+
b
12
a
23
b
21
a
11
+
b
22
a
21
b
21
a
12
+
b
22
a
22
b
21
a
13
+
b
22
a
23
b
31
a
11
+
b
32
a
21
b
31
a
12
+
b
32
a
22
b
31
a
13
+
b
32
a
23
]
(ii)
[
a
11
a
12
a
13
a
21
a
22
a
23
]
(iii)
[
a
11
b
11
+
a
12
b
21
+
a
13
b
31
a
21
b
11
+
a
22
b
21
+
a
23
b
31
a
11
b
12
+
a
12
b
22
+
a
13
b
32
a
21
b
12
+
a
22
b
22
+
a
23
b
32
]
(iv)
[
a
11
b
11
+
a
21
b
12
a
11
b
21
+
a
21
b
22
a
11
b
31
+
a
21
b
32
a
12
b
11
+
a
22
b
12
a
12
b
21
+
a
22
b
22
a
12
b
31
+
a
22
b
32
a
13
b
11
+
a
23
b
12
a
13
b
21
+
a
23
b
22
a
13
b
31
+
a
23
b
32
]
(v)
[
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
21
b
11
+
a
22
b
21
+
a
23
b
31
a
21
b
12
+
a
22
b
22
+
a
23
b
32
]
Question
24
24.
Which of the following matrices is a
2 ✕ 3
matrix ?
(i)
[
6
3
4
1
5
1
5
9
9
6
9
4
]
(ii)
[
4
3
6
4
3
1
3
8
9
]
(iii)
[
2
3
5
5
6
6
5
6
]
(iv)
[
9
4
1
5
9
5
]
(v)
[
5
4
5
6
7
7
]
Question
25
25.
If A =
[
(
8
p
+
6
)
(
7
q
−
2
)
(
7
r
+
4
)
(
9
s
−
6
)
]
and B =
[
1
2
7
6
]
,
find the values of p, q, r and s
(i)
p = 4/7, q = -5/8, r = 4/3, s = 3/7
(ii)
p = -5/8, q = 4/3, r = 4/7, s = 3/7
(iii)
p = -5/8, q = 3/7, r = 4/7, s = 4/3
(iv)
p = -5/8, q = 4/7, r = 3/7, s = 4/3
(v)
p = 4/7, q = -5/8, r = 3/7, s = 4/3
Assignment Key
1) (iv)
2) (iv)
3) (i)
4) (iii)
5) (iv)
6) (iii)
7) (iii)
8) (iii)
9) (ii)
10) (i)
11) (i)
12) (iii)
13) (ii)
14) (i)
15) (ii)
16) (iii)
17) (i)
18) (i)
19) (ii)
20) (iii)
21) (iii)
22) (ii)
23) (v)
24) (iv)
25) (iv)
