EduSahara™ Assignment
Name : Matrix with variables
Chapter : Matrices
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If A =
[
a
b
c
d
]
and B =
[
2
9
5
8
]
and if A = B,
find the values of a, b, c and d
(i)
a = 5, b = 2, c = 9, d = 8
(ii)
a = 2, b = 9, c = 5, d = 8
(iii)
a = 8, b = 2, c = 5, d = 9
(iv)
a = 9, b = 2, c = 8, d = 5
Question
2
2.
If A =
[
(
5
p
+
5
)
(
5
q
+
1
)
(
2
r
+
2
)
(
2
s
−
2
)
]
and B =
[
4
2
3
9
]
,
find the values of p, q, r and s
(i)
p = -1/5, q = 1/5, r = 1/2, s = 11/2
(ii)
p = 1/5, q = -1/5, r = 11/2, s = 1/2
(iii)
p = -1/5, q = 11/2, r = 1/5, s = 1/2
(iv)
p = -1/5, q = 1/2, r = 1/5, s = 11/2
(v)
p = 1/5, q = -1/5, r = 1/2, s = 11/2
Question
3
3.
If
[
(
8
x
+
y
)
2
2
(
2
x
+
5
y
)
]
=
[
-1
2
2
-8
]
, find x and y
(i)
(
3
40
,
(
-11
7
)
)
(ii)
(
5
38
,
(
-31
19
)
)
(iii)
(
3
38
,
(
-29
17
)
)
(iv)
(
(
-31
19
)
,
3
38
)
(v)
(
3
38
,
(
-31
19
)
)
Question
4
4.
If A =
[
(
4
x
−
8
y
)
(
9
x
+
y
)
(
5
x
+
2
y
)
(
4
x
+
4
y
)
]
=
[
9
6
a
b
]
,
find a and b
(i)
(
13
6
,
1
)
(ii)
(
9
4
,
0
)
(iii)
(
11
4
,
0
)
(iv)
(
0
,
9
4
)
(v)
(
9
4
,
-1
)
Question
5
5.
If A =
[
3
0
0
x
]
is a scalar matrix, then x = ?
(i)
9
(ii)
0
(iii)
1
(iv)
x
(v)
3
Question
6
6.
If X + Y =
[
2
18
10
3
]
&
X - Y =
[
0
0
0
-3
]
, find X and Y
(i)
[
1
9
5
0
]
,
[
1
9
5
6
]
(ii)
[
1
9
5
3
]
,
[
1
9
5
0
]
(iii)
[
1
9
4
0
]
,
[
1
9
5
3
]
(iv)
[
1
9
5
0
]
,
[
1
9
5
3
]
Question
7
7.
If A =
[
1
-3
-8
3
]
and the sum of the values of
elements of matrix kA =
-42
, find k
(i)
5
(ii)
4
(iii)
7
(iv)
8
(v)
6
Question
8
8.
Given A =
[
-9
-3
-4
2
]
and B =
[
a
−
1
10
b
3
10
]
,
if BA = I find a and b
(i)
a =
(
-1
15
)
, b =
(
-2
15
)
(ii)
a =
(
-1
12
)
, b =
3
8
(iii)
a =
(
-1
15
)
, b =
(
-1
12
)
(iv)
a =
3
8
, b =
(
-2
15
)
Assignment Key
1) (ii)
2) (i)
3) (v)
4) (ii)
5) (v)
6) (iv)
7) (v)
8) (i)
