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 =
[
9
5
4
2
]
and if A = B,
find the values of a, b, c and d
(i)
a = 9, b = 4, c = 5, d = 2
(ii)
a = 2, b = 9, c = 4, d = 5
(iii)
a = 9, b = 5, c = 4, d = 2
Question
2
2.
If A =
[
(
5
p
−
7
)
(
8
q
−
5
)
(
8
r
−
3
)
(
9
s
−
6
)
]
and B =
[
6
5
8
3
]
,
find the values of p, q, r and s
(i)
p = 13/5, q = 11/8, r = 5/4, s = 1
(ii)
p = 13/5, q = 5/4, r = 11/8, s = 1
(iii)
p = 5/4, q = 13/5, r = 11/8, s = 1
(iv)
p = 13/5, q = 1, r = 5/4, s = 11/8
(v)
p = 5/4, q = 13/5, r = 1, s = 11/8
Question
3
3.
If
[
(
7
x
+
7
y
)
1
6
(
7
x
+
y
)
]
=
[
-7
1
6
-1
]
, find x and y
(i)
(
3
,
-1
)
(ii)
(
-1
,
0
)
(iii)
(
0
,
-1
)
(iv)
(
0
,
-2
)
(v)
(
1
,
0
)
Question
4
4.
If A =
[
(
−
9
x
+
6
y
)
(
−
7
x
−
9
y
)
(
6
x
+
7
y
)
(
7
x
+
6
y
)
]
=
[
(
−
8
)
1
a
b
]
,
find a and b
(i)
(
(
-59
123
)
,
8
13
)
(ii)
(
(
-59
123
)
,
24
41
)
(iii)
(
24
41
,
(
-59
123
)
)
(iv)
(
(
-59
125
)
,
24
43
)
(v)
(
(
-19
41
)
,
24
41
)
Question
5
5.
If A =
[
3
0
0
x
]
is a scalar matrix, then x = ?
(i)
9
(ii)
0
(iii)
3
(iv)
x
(v)
1
Question
6
6.
If X + Y =
[
-6
-14
0
-5
]
&
X - Y =
[
12
-4
2
1
]
, find X and Y
(i)
[
3
-9
1
-2
]
,
[
-9
-5
-1
-3
]
(ii)
[
3
-9
1
-2
]
,
[
-7
-5
-1
-3
]
(iii)
[
-9
-5
-1
-3
]
,
[
3
-9
1
-2
]
(iv)
[
2
-9
1
-2
]
,
[
-9
-5
-1
-3
]
Question
7
7.
If A =
[
-2
5
6
7
]
and the sum of the values of
elements of matrix kA =
112
, find k
(i)
6
(ii)
5
(iii)
8
(iv)
7
(v)
9
Question
8
8.
Given A =
[
-1
-1
0
0
]
and B =
[
a
987654321
b
987654321
]
,
if BA = I find a and b
(i)
a =
987654320
, b =
987654321
(ii)
a =
987654321
, b =
987654322
(iii)
a =
987654321
, b =
987654321
(iv)
a =
987654322
, b =
987654320
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (ii)
5) (iii)
6) (i)
7) (iv)
8) (iii)
