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
6
2
7
]
and if A = B,
find the values of a, b, c and d
(i)
a = 6, b = 4, c = 2, d = 7
(ii)
a = 2, b = 6, c = 4, d = 7
(iii)
a = 2, b = 7, c = 6, d = 4
(iv)
a = 4, b = 6, c = 2, d = 7
Question
2
2.
If A =
[
(
8
p
+
7
)
(
4
q
+
3
)
(
5
r
+
1
)
7
s
]
and B =
[
5
7
2
6
]
,
find the values of p, q, r and s
(i)
p = 1, q = -1/4, r = 6/7, s = 1/5
(ii)
p = -1/4, q = 1, r = 1/5, s = 6/7
(iii)
p = 1, q = -1/4, r = 1/5, s = 6/7
(iv)
p = -1/4, q = 6/7, r = 1, s = 1/5
(v)
p = -1/4, q = 1/5, r = 1, s = 6/7
Question
3
3.
If
[
(
3
x
+
9
y
)
3
3
(
4
x
+
9
y
)
]
=
[
-5
3
3
-5
]
, find x and y
(i)
(
0
,
(
-5
7
)
)
(ii)
(
2
,
(
-5
9
)
)
(iii)
(
(
-5
9
)
,
0
)
(iv)
(
1
,
(
-5
11
)
)
(v)
(
0
,
(
-5
9
)
)
Question
4
4.
If A =
[
(
−
2
x
−
9
y
)
(
−
9
x
−
7
y
)
(
2
x
+
y
)
(
3
x
+
3
y
)
]
=
[
9
4
a
b
]
,
find a and b
(i)
(
(
-19
69
)
,
(
-142
69
)
)
(ii)
(
(
-19
67
)
,
(
-134
65
)
)
(iii)
(
(
-138
67
)
,
(
-19
67
)
)
(iv)
(
(
-17
67
)
,
(
-138
67
)
)
(v)
(
(
-19
67
)
,
(
-138
67
)
)
Question
5
5.
If A =
[
3
0
0
x
]
is a scalar matrix, then x = ?
(i)
0
(ii)
3
(iii)
9
(iv)
1
(v)
x
Question
6
6.
If X + Y =
[
2
-12
1
-13
]
&
X - Y =
[
-12
-2
9
5
]
, find X and Y
(i)
[
-5
-7
5
-4
]
,
[
7
-5
-4
-9
]
(ii)
[
-5
-7
4
-4
]
,
[
7
-5
-4
-9
]
(iii)
[
7
-5
-4
-9
]
,
[
-5
-7
5
-4
]
(iv)
[
-5
-7
5
-4
]
,
[
7
-3
-4
-9
]
Question
7
7.
If A =
[
1
-9
-1
9
]
and the sum of the values of
elements of matrix kA =
0
, find k
(i)
3
(ii)
4
(iii)
5
(iv)
1
(v)
6
Question
8
8.
Given A =
[
-6
0
6
8
]
and B =
[
a
0
b
1
8
]
,
if BA = I find a and b
(i)
a =
1
, b =
1
6
(ii)
a =
1
6
, b =
1
8
(iii)
a =
(
-1
6
)
, b =
1
8
(iv)
a =
(
-1
6
)
, b =
1
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (v)
5) (ii)
6) (i)
7) (ii)
8) (iii)
