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
7
6
8
]
and if A = B,
find the values of a, b, c and d
(i)
a = 2, b = 7, c = 6, d = 8
(ii)
a = 6, b = 8, c = 7, d = 2
(iii)
a = 8, b = 7, c = 6, d = 2
(iv)
a = 6, b = 8, c = 2, d = 7
Question
2
2.
If A =
[
(
p
−
4
)
(
3
q
+
2
)
(
5
r
+
7
)
(
5
s
−
2
)
]
and B =
[
1
2
4
9
]
,
find the values of p, q, r and s
(i)
p = 5, q = -3/5, r = 0, s = 11/5
(ii)
p = 5, q = 0, r = -3/5, s = 11/5
(iii)
p = 0, q = 5, r = -3/5, s = 11/5
(iv)
p = 0, q = 5, r = 11/5, s = -3/5
(v)
p = 5, q = 11/5, r = 0, s = -3/5
Question
3
3.
If
[
(
8
x
+
8
y
)
6
5
(
8
x
+
5
y
)
]
=
[
-1
6
5
-9
]
, find x and y
(i)
(
8
3
,
(
-67
24
)
)
(ii)
(
(
-65
24
)
,
8
3
)
(iii)
(
(
-71
26
)
,
12
5
)
(iv)
(
(
-67
24
)
,
8
3
)
(v)
(
(
-67
24
)
,
4
)
Question
4
4.
If A =
[
(
−
2
x
+
3
y
)
(
4
x
+
y
)
(
7
x
+
9
y
)
(
3
x
+
2
y
)
]
=
[
(
−
4
)
(
−
6
)
a
b
]
,
find a and b
(i)
(
-7
,
-25
)
(ii)
(
-25
,
-7
)
(iii)
(
-24
,
-6
)
(iv)
(
-25
,
-8
)
(v)
(
-23
,
-7
)
Question
5
5.
If A =
[
3
0
0
x
]
is a scalar matrix, then x = ?
(i)
x
(ii)
0
(iii)
9
(iv)
1
(v)
3
Question
6
6.
If X + Y =
[
1
-9
-16
-1
]
&
X - Y =
[
-3
-5
2
5
]
, find X and Y
(i)
[
-1
-7
-7
2
]
,
[
2
1
-9
-3
]
(ii)
[
-1
-7
-7
2
]
,
[
2
-2
-9
-3
]
(iii)
[
2
-2
-9
-3
]
,
[
-1
-7
-7
2
]
(iv)
[
-2
-7
-7
2
]
,
[
2
-2
-9
-3
]
Question
7
7.
If A =
[
4
1
-2
7
]
and the sum of the values of
elements of matrix kA =
80
, find k
(i)
8
(ii)
11
(iii)
5
(iv)
7
(v)
9
Question
8
8.
Given A =
[
8
-1
5
-6
]
and B =
[
a
−
1
43
b
−
8
43
]
,
if BA = I find a and b
(i)
a =
(
-8
41
)
, b =
5
43
(ii)
a =
6
43
, b =
(
-1
45
)
(iii)
a =
(
-1
45
)
, b =
(
-8
41
)
(iv)
a =
6
43
, b =
5
43
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (ii)
5) (v)
6) (ii)
7) (i)
8) (iv)
