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 =
[
4
8
1
2
]
and if A = B,
find the values of a, b, c and d
(i)
a = 1, b = 4, c = 2, d = 8
(ii)
a = 4, b = 8, c = 1, d = 2
(iii)
a = 8, b = 2, c = 4, d = 1
Question
2
2.
If A =
[
(
5
p
+
7
)
(
9
q
−
6
)
(
3
r
+
7
)
(
2
s
+
5
)
]
and B =
[
4
1
2
8
]
,
find the values of p, q, r and s
(i)
p = 7/9, q = -3/5, r = 3/2, s = -5/3
(ii)
p = -3/5, q = 3/2, r = 7/9, s = -5/3
(iii)
p = -3/5, q = 7/9, r = -5/3, s = 3/2
(iv)
p = -3/5, q = -5/3, r = 7/9, s = 3/2
(v)
p = 7/9, q = -3/5, r = -5/3, s = 3/2
Question
3
3.
If
[
(
x
+
3
y
)
7
3
(
2
x
+
2
y
)
]
=
[
-6
7
3
-7
]
, find x and y
(i)
(
(
-9
4
)
,
(
-5
4
)
)
(ii)
(
(
-9
4
)
,
(
-3
2
)
)
(iii)
(
(
-5
4
)
,
(
-9
4
)
)
(iv)
(
(
-13
6
)
,
(
-7
6
)
)
(v)
(
(
-7
4
)
,
(
-5
4
)
)
Question
4
4.
If A =
[
(
9
x
+
7
y
)
(
8
x
−
4
y
)
(
2
x
+
6
y
)
(
2
x
+
6
y
)
]
=
[
2
1
a
b
]
,
find a and b
(i)
(
18
23
,
18
23
)
(ii)
(
18
23
,
6
7
)
(iii)
(
20
23
,
18
23
)
(iv)
(
18
25
,
18
25
)
Question
5
5.
If A =
[
3
0
0
x
]
is a scalar matrix, then x = ?
(i)
0
(ii)
x
(iii)
3
(iv)
1
(v)
9
Question
6
6.
If X + Y =
[
13
6
10
6
]
&
X - Y =
[
5
-2
-8
-8
]
, find X and Y
(i)
[
9
2
0
-1
]
,
[
4
4
9
7
]
(ii)
[
4
4
9
7
]
,
[
9
2
1
-1
]
(iii)
[
9
2
1
-1
]
,
[
4
4
9
7
]
(iv)
[
9
2
1
-1
]
,
[
4
4
12
7
]
Question
7
7.
If A =
[
1
-1
-6
7
]
and the sum of the values of
elements of matrix kA =
8
, find k
(i)
11
(ii)
8
(iii)
9
(iv)
7
(v)
6
Question
8
8.
Given A =
[
8
-6
-6
-9
]
and B =
[
a
−
1
18
b
−
2
27
]
,
if BA = I find a and b
(i)
a =
(
-2
25
)
, b =
(
-1
18
)
(ii)
a =
1
12
, b =
(
-1
20
)
(iii)
a =
1
12
, b =
(
-1
18
)
(iv)
a =
(
-1
20
)
, b =
(
-2
25
)
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (i)
5) (iii)
6) (iii)
7) (ii)
8) (iii)
