EduSahara™ Assignment
Name : Matrix Addition and Subtraction Concepts
Chapter : Matrices
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Matrix A =
[
0
-4
-2
1
-3
0
-2
-1
2
]
is the additive inverse of
(i)
[
0
4
2
-1
3
0
2
1
-2
]
(ii)
[
0
4
2
-1
5
0
2
1
-2
]
(iii)
[
0
5
2
-1
3
0
2
1
-2
]
(iv)
[
0
4
2
-4
3
0
2
1
-2
]
(v)
[
-1
4
2
-1
3
0
2
1
-2
]
Question
2
2.
If the elements of matrix A are multiplied with -1 , we get
(i)
multiplicative inverse of A
(ii)
additive inverse of A
(iii)
additive identity of A
(iv)
multiplicative identity of A
Question
3
3.
If the elements of matrix A are multiplied with 0 , we get
(i)
additive identity of A
(ii)
multiplicative inverse of A
(iii)
additive inverse of A
(iv)
multiplicative identity of A
Question
4
4.
A
5 ✕ 4
matrix has
a)
4
rows and
5
columns
b)
5
rows and
4
columns
c)
9
rows and
4
columns
d)
5
rows and
20
columns
(i)
{b}
(ii)
{c,b}
(iii)
{d,a,b}
(iv)
{a,b}
Question
5
5.
Which of the following are true for matrices A and B ?
a)
If A and B can be added, they must have the same order
b)
If AB = 0, A = 0 or B = 0 or both A and B are zero matrices
c)
If A and B can be multiplied, they must have the same order
d)
The orders of
(
A
✕
B
)
and
(
B
✕
A
)
are same
(i)
{c,a}
(ii)
{b,a}
(iii)
{d,b,a}
(iv)
{a}
Question
6
6.
If
(
A
+
B
)
= 0, then
a)
A is the additive identity of B
b)
B is the additive identity of A
c)
B is the additive inverse of A
d)
A is the additive inverse of B
(i)
{b,d}
(ii)
{a,b,c}
(iii)
{a,d,c}
(iv)
{c,d}
(v)
{a,c}
Question
7
7.
Which of the following are true ?
a)
The order of
(
A
✕
B
)
and
(
B
✕
A
)
is same
b)
If matrices A & B can be multiplied, they must have the same order
c)
If AB = 0, then A = 0 or B = 0 or both A & B are 0
d)
If matrices A & B can be added, they must have the same order
(i)
{d}
(ii)
{b,d}
(iii)
{a,d}
(iv)
{c,a,d}
Question
8
8.
If A =
[
a
11
a
12
a
21
a
22
]
and B =
[
b
11
b
12
b
21
b
22
]
,
then
(
A
+
B
)
=
(i)
[
a
11
+
b
11
a
21
+
b
21
a
12
+
b
12
a
22
+
b
22
]
(ii)
[
a
11
+
b
11
a
12
+
b
12
a
21
+
b
21
a
22
+
b
22
]
(iii)
[
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
]
(iv)
[
a
11
+
b
11
a
21
+
b
12
a
12
+
b
21
a
22
+
b
22
]
Question
9
9.
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
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
]
(ii)
[
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
]
(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
10
10.
If A =
[
a
11
a
12
a
21
a
22
]
and B =
[
b
11
b
12
b
21
b
22
]
,
then
(
A
−
B
)
=
(i)
[
a
11
−
b
11
a
12
−
b
12
a
21
−
b
21
a
22
−
b
22
]
(ii)
[
a
11
−
b
11
a
21
−
b
12
a
12
−
b
21
a
22
−
b
22
]
(iii)
[
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
]
(iv)
[
a
11
−
b
11
a
21
−
b
21
a
12
−
b
12
a
22
−
b
22
]
Question
11
11.
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
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
]
(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
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
]
(iv)
[
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
]
Question
12
12.
Which of the following matrices is comparable to the
given matrix
[
8
3
2
4
]
?
(i)
[
1
2
7
9
]
(ii)
[
6
1
4
1
2
5
]
(iii)
[
7
1
]
(iv)
[
4
7
7
7
8
3
7
9
5
2
5
4
]
(v)
[
4
5
9
3
8
1
]
Question
13
13.
Which of the following matrices can be added to
[
4
6
3
1
]
?
(i)
[
3
1
8
6
7
8
]
(ii)
[
2
6
3
9
6
7
1
1
1
3
3
1
]
(iii)
[
1
3
]
(iv)
[
6
6
8
9
]
(v)
[
7
8
2
4
8
5
]
Question
14
14.
Which of the following pairs of matrices are comparable?
(i)
[
4
-1
3
1
3
7
]
,
[
-5
3
-3
7
0
5
]
(ii)
[
1
-9
-2
0
]
,
[
-5
3
-3
7
0
5
]
(iii)
[
1
-9
-2
0
]
,
[
-9
9
8
8
]
(iv)
[
1
-9
-2
0
]
,
[
4
-1
3
1
3
7
]
(v)
[
1
-9
-2
0
]
,
[
-5
-1
]
Question
15
15.
Find the
additive
identity of matrix A =
[
-3
0
7
5
]
(i)
[
0
0
2
0
]
(ii)
[
0
-3
0
0
]
(iii)
[
0
0
0
0
]
(iv)
[
1
0
0
0
]
(v)
[
0
0
-1
0
]
Question
16
16.
Find the
additive
identity of matrix A =
[
-2
-1
-3
-1
4
-3
-3
-2
4
]
(i)
[
0
0
0
1
0
0
0
0
0
]
(ii)
[
0
0
0
0
0
0
0
0
-1
]
(iii)
[
0
0
0
0
2
0
0
0
0
]
(iv)
[
0
0
0
0
0
0
0
-2
0
]
(v)
[
0
0
0
0
0
0
0
0
0
]
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (i)
5) (iv)
6) (iv)
7) (i)
8) (ii)
9) (iv)
10) (i)
11) (iii)
12) (i)
13) (iv)
14) (iii)
15) (iii)
16) (v)
