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 =
[
1
5
7
8
]
and if A = B,
find the values of a, b, c and d
(i)
a = 1, b = 5, c = 7, d = 8
(ii)
a = 8, b = 5, c = 7, d = 1
(iii)
a = 1, b = 5, c = 8, d = 7
Question
2
2.
If A =
[
8
p
(
6
q
+
5
)
(
7
r
+
5
)
(
5
s
−
8
)
]
and B =
[
6
9
8
2
]
,
find the values of p, q, r and s
(i)
p = 3/4, q = 2/3, r = 3/7, s = 2
(ii)
p = 3/4, q = 2, r = 2/3, s = 3/7
(iii)
p = 2/3, q = 3/4, r = 2, s = 3/7
(iv)
p = 3/4, q = 3/7, r = 2/3, s = 2
(v)
p = 2/3, q = 3/4, r = 3/7, s = 2
Question
3
3.
If
[
(
9
x
+
6
y
)
9
6
(
x
+
8
y
)
]
=
[
-9
9
6
-7
]
, find x and y
(i)
(
(
-5
13
)
,
(
-9
13
)
)
(ii)
(
(
-3
11
)
,
(
-9
11
)
)
(iii)
(
(
-5
11
)
,
-1
)
(iv)
(
(
-5
11
)
,
(
-9
11
)
)
(v)
(
(
-9
11
)
,
(
-5
11
)
)
Question
4
4.
If A =
[
(
2
x
−
6
y
)
(
x
+
6
y
)
(
x
+
5
y
)
(
8
x
+
8
y
)
]
=
[
5
6
a
b
]
,
find a and b
(i)
(
292
9
,
101
18
)
(ii)
(
103
18
,
292
9
)
(iii)
(
101
18
,
292
9
)
(iv)
(
101
18
,
228
7
)
(v)
(
111
20
,
356
11
)
Question
5
5.
If A =
[
3
0
0
x
]
is a scalar matrix, then x = ?
(i)
1
(ii)
x
(iii)
3
(iv)
0
(v)
9
Question
6
6.
If X + Y =
[
0
9
-4
7
]
&
X - Y =
[
2
5
-10
-11
]
, find X and Y
(i)
[
1
7
-7
-2
]
,
[
-1
2
3
9
]
(ii)
[
1
7
-8
-2
]
,
[
-1
2
3
9
]
(iii)
[
-1
2
3
9
]
,
[
1
7
-7
-2
]
(iv)
[
1
7
-7
-2
]
,
[
1
2
3
9
]
Question
7
7.
If A =
[
-1
2
9
4
]
and the sum of the values of
elements of matrix kA =
126
, find k
(i)
8
(ii)
9
(iii)
7
(iv)
10
(v)
11
Question
8
8.
Given A =
[
2
5
-6
-7
]
and B =
[
a
−
5
16
b
1
8
]
,
if BA = I find a and b
(i)
a =
(
-7
16
)
, b =
(
-5
18
)
(ii)
a =
(
-7
16
)
, b =
3
8
(iii)
a =
1
6
, b =
3
8
(iv)
a =
(
-5
18
)
, b =
1
6
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (iii)
5) (iii)
6) (i)
7) (ii)
8) (ii)
