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