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 =
[
6
3
1
5
]
and if A = B,
find the values of a, b, c and d
(i)
a = 3, b = 5, c = 6, d = 1
(ii)
a = 5, b = 6, c = 1, d = 3
(iii)
a = 1, b = 6, c = 5, d = 3
(iv)
a = 6, b = 3, c = 1, d = 5
Question
2
2.
If A =
[
(
9
p
+
4
)
(
2
q
+
3
)
(
9
r
+
2
)
(
6
s
−
6
)
]
and B =
[
2
4
8
7
]
,
find the values of p, q, r and s
(i)
p = -2/9, q = 1/2, r = 2/3, s = 13/6
(ii)
p = -2/9, q = 13/6, r = 1/2, s = 2/3
(iii)
p = 1/2, q = -2/9, r = 13/6, s = 2/3
(iv)
p = 1/2, q = -2/9, r = 2/3, s = 13/6
(v)
p = -2/9, q = 2/3, r = 1/2, s = 13/6
Question
3
3.
If
[
(
5
x
+
5
y
)
7
9
(
2
x
+
y
)
]
=
[
-5
7
9
-7
]
, find x and y
(i)
(
-5
,
6
)
(ii)
(
-6
,
5
)
(iii)
(
-4
,
5
)
(iv)
(
5
,
-6
)
(v)
(
-6
,
4
)
Question
4
4.
If A =
[
(
−
4
x
−
6
y
)
(
9
x
−
y
)
(
4
x
+
7
y
)
(
4
x
+
3
y
)
]
=
[
7
7
a
b
]
,
find a and b
(i)
(
(
-497
58
)
,
(
-129
56
)
)
(ii)
(
(
-497
58
)
,
(
-133
58
)
)
(iii)
(
(
-171
20
)
,
(
-137
60
)
)
(iv)
(
(
-495
58
)
,
(
-133
58
)
)
(v)
(
(
-133
58
)
,
(
-497
58
)
)
Question
5
5.
If A =
[
3
0
0
x
]
is a scalar matrix, then x = ?
(i)
3
(ii)
1
(iii)
9
(iv)
0
(v)
x
Question
6
6.
If X + Y =
[
-15
-5
3
6
]
&
X - Y =
[
3
-13
-13
0
]
, find X and Y
(i)
[
-6
-9
-5
3
]
,
[
-7
4
8
3
]
(ii)
[
-9
4
8
3
]
,
[
-6
-9
-5
3
]
(iii)
[
-6
-9
-6
3
]
,
[
-9
4
8
3
]
(iv)
[
-6
-9
-5
3
]
,
[
-9
4
8
3
]
Question
7
7.
If A =
[
1
2
3
-6
]
and the sum of the values of
elements of matrix kA =
0
, find k
(i)
4
(ii)
2
(iii)
1
(iv)
6
(v)
3
Question
8
8.
Given A =
[
8
-6
4
-2
]
and B =
[
a
3
4
b
1
]
,
if BA = I find a and b
(i)
a =
0
, b =
(
-1
2
)
(ii)
a =
(
-1
4
)
, b =
(
-1
2
)
(iii)
a =
1
2
, b =
0
(iv)
a =
(
-1
4
)
, b =
1
2
Assignment Key
1) (iv)
2) (i)
3) (ii)
4) (ii)
5) (i)
6) (iv)
7) (v)
8) (ii)
