EduSahara™ Assignment
Name : Matrix Addition and Subtraction
Chapter : Matrices
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If A =
[
8
-2
-4
-5
]
and B =
[
-4
2
0
2
]
, then A
+
B =
(i)
[
4
0
-4
-4
]
(ii)
[
4
0
-4
-5
]
(iii)
[
4
0
-1
-3
]
(iv)
[
4
0
-3
-3
]
(v)
[
4
0
-4
-3
]
Question
2
2.
If A =
[
6
5
6
1
]
and B =
[
-4
-9
-4
-9
]
, then A
−
B =
(i)
[
10
14
10
9
]
(ii)
[
10
14
10
7
]
(iii)
[
10
14
10
10
]
(iv)
[
10
14
10
11
]
(v)
[
10
14
13
10
]
Question
3
3.
If A =
[
-3
2
3
2
-3
4
4
2
3
]
and B =
[
-1
0
2
-3
-3
-2
2
1
-1
]
, then A
+
B =
(i)
[
-4
2
5
-1
-6
5
6
3
2
]
(ii)
[
-4
2
5
-1
-6
2
6
3
2
]
(iii)
[
-4
2
5
-1
-7
2
6
3
2
]
(iv)
[
-4
2
5
-1
-6
2
7
3
2
]
(v)
[
-4
2
2
-1
-6
2
6
3
2
]
Question
4
4.
If A =
[
0
-1
1
]
and B =
[
0
0
1
]
, then A
−
B =
(i)
[
0
-1
0
]
(ii)
[
-3
-1
0
]
(iii)
[
0
-2
0
]
(iv)
[
3
-1
0
]
(v)
[
0
0
0
]
Question
5
5.
If A =
[
2
2
-2
1
1
-2
]
and B =
[
-2
2
0
1
-2
-1
]
, then A
+
B =
(i)
[
0
4
-2
2
-1
-5
]
(ii)
[
0
4
-2
2
-1
-3
]
(iii)
[
0
4
-2
1
-1
-3
]
(iv)
[
0
4
1
2
-1
-3
]
(v)
[
0
4
-1
2
-1
-3
]
Question
6
6.
If A =
[
0
]
and B =
[
1
]
, then A
+
B =
(i)
[
2
]
(ii)
[
1
]
(iii)
[
4
]
(iv)
[
-1
]
(v)
[
0
]
Question
7
7.
If A =
[
-4
-3
-3
4
-3
2
4
4
-4
]
, then
7
A =
(i)
[
-29
-21
-21
28
-21
14
28
28
-28
]
(ii)
[
-28
-21
-21
26
-21
14
28
28
-28
]
(iii)
[
-28
-21
-21
28
-19
14
28
28
-28
]
(iv)
[
-27
-21
-21
28
-21
14
28
28
-28
]
(v)
[
-28
-21
-21
28
-21
14
28
28
-28
]
Question
8
8.
If A =
[
0
1
2
-3
]
and B =
[
-1
0
-4
0
]
, then
8
A
+
9
B =
(i)
[
-9
8
-20
-25
]
(ii)
[
-9
8
-20
-22
]
(iii)
[
-9
6
-20
-24
]
(iv)
[
-9
8
-20
-24
]
(v)
[
-9
8
-19
-24
]
Question
9
9.
If A =
[
6
6
-3
6
]
and B =
[
6
3
0
-3
]
, then
7
A
−
7
B =
(i)
[
2
21
-21
63
]
(ii)
[
0
21
-21
63
]
(iii)
[
0
20
-21
63
]
(iv)
[
0
21
-20
63
]
(v)
[
0
18
-21
63
]
Question
10
10.
If A =
[
0
-2
-2
5
2
-1
5
-6
-2
]
and O =
[
0
0
0
0
0
0
0
0
0
]
, then A
+
O =
(i)
[
0
-2
-2
5
2
-1
7
-6
-2
]
(ii)
[
0
-2
-2
5
2
-1
5
-6
-5
]
(iii)
[
0
-1
-2
5
2
-1
5
-6
-2
]
(iv)
[
0
-2
-2
5
2
-1
5
-6
-2
]
(v)
[
0
-2
-2
5
2
-2
5
-6
-2
]
Question
11
11.
If A =
[
8
3
-5
9
]
, B =
[
-7
2
-4
9
]
and C =
[
-5
-1
-7
3
]
,
then
6
A
−
7
B
+
7
C
=
(i)
[
62
-3
-51
10
]
(ii)
[
62
-3
-51
12
]
(iii)
[
62
-3
-52
12
]
(iv)
[
64
-3
-51
12
]
(v)
[
63
-3
-51
12
]
Question
12
12.
Find A , given that A
+
10
[
2
-6
-8
1
]
=
[
13
-58
-75
19
]
(i)
[
-9
2
5
9
]
(ii)
[
-5
2
5
9
]
(iii)
[
-7
2
4
9
]
(iv)
[
-7
2
5
9
]
(v)
[
-7
3
5
9
]
Question
13
13.
If A =
[
4
3
-9
9
]
, then find B satisfying A
+ B = O
(i)
[
-4
-3
9
-9
]
(ii)
[
-5
-3
9
-9
]
(iii)
[
-4
-6
9
-9
]
(iv)
[
-4
-3
9
-6
]
(v)
[
-4
-2
9
-9
]
Question
14
14.
If A =
[
-1
1
-1
0
]
, then find B satisfying A
+
B = I
(i)
[
2
-2
1
1
]
(ii)
[
2
-1
2
1
]
(iii)
[
2
-1
4
1
]
(iv)
[
2
-1
1
1
]
(v)
[
2
-1
-1
1
]
Question
15
15.
If A =
[
-7
0
1
-8
]
, then find B satisfying A
+ B = A
(i)
[
0
0
0
0
]
(ii)
[
0
0
-1
0
]
(iii)
[
0
-2
0
0
]
(iv)
[
0
0
1
0
]
(v)
[
0
0
3
0
]
Question
16
16.
If
(
A
+
B
)
= 0, then
a)
A is the additive inverse of B
b)
A is the additive identity of B
c)
B is the additive inverse of A
d)
B is the additive identity of A
(i)
{d,c}
(ii)
{b,d,a}
(iii)
{b,c,a}
(iv)
{a,c}
(v)
{b,a}
Question
17
17.
If A =
[
8
-9
1
2
]
and B =
[
-8
4
5
-2
]
and D =
[
183
-96
27
86
]
,
10
A
−
5
B
+
7
C
= D, then C = ?
(i)
[
9
2
6
10
]
(ii)
[
9
2
6
8
]
(iii)
[
10
2
6
8
]
(iv)
[
9
2
6
5
]
(v)
[
9
2
5
8
]
Question
18
18.
If A =
[
-1
-4
4
9
]
and the sum of the values of
elements of matrix kA =
56
, find k
(i)
8
(ii)
6
(iii)
7
(iv)
4
(v)
9
Question
19
19.
If A =
[
-4
9
6
-8
]
, the value of -A =
(i)
[
4
-8
-6
8
]
(ii)
[
4
-9
-6
8
]
(iii)
[
4
-7
-6
8
]
(iv)
[
1
-9
-6
8
]
(v)
[
4
-10
-6
8
]
Question
20
20.
If A =
[
-5
1
6
-4
]
, B =
[
-8
-8
3
-3
]
and C =
[
-5
8
5
-3
]
,
then A
+
7
B
+
8
C =
(i)
[
-101
12
67
-49
]
(ii)
[
-101
10
67
-49
]
(iii)
[
-101
8
67
-49
]
(iv)
[
-101
9
67
-49
]
(v)
[
-101
9
64
-49
]
Question
21
21.
Find the
additive
identity of matrix A =
[
-8
1
4
8
]
(i)
[
-2
0
0
0
]
(ii)
[
0
0
0
-1
]
(iii)
[
0
0
0
0
]
(iv)
[
0
3
0
0
]
(v)
[
0
1
0
0
]
Question
22
22.
Find the
additive
identity of matrix A =
[
-4
-3
-4
1
4
1
-2
-3
-4
]
(i)
[
0
0
0
0
0
0
0
0
0
]
(ii)
[
-1
0
0
0
0
0
0
0
0
]
(iii)
[
0
0
0
0
0
2
0
0
0
]
(iv)
[
-2
0
0
0
0
0
0
0
0
]
(v)
[
0
0
0
0
0
1
0
0
0
]
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (i)
5) (ii)
6) (ii)
7) (v)
8) (iv)
9) (ii)
10) (iv)
11) (ii)
12) (iv)
13) (i)
14) (iv)
15) (i)
16) (iv)
17) (ii)
18) (iii)
19) (ii)
20) (iv)
21) (iii)
22) (i)
