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
4
7
1
]
and if A = B,
find the values of a, b, c and d
(i)
a = 4, b = 1, c = 7, d = 6
(ii)
a = 1, b = 6, c = 7, d = 4
(iii)
a = 6, b = 4, c = 7, d = 1
(iv)
a = 6, b = 7, c = 1, d = 4
Question
2
2.
If A =
[
(
3
p
−
2
)
(
7
q
+
2
)
(
8
r
−
8
)
(
5
s
−
6
)
]
and B =
[
6
2
4
1
]
,
find the values of p, q, r and s
(i)
p = 0, q = 8/3, r = 3/2, s = 7/5
(ii)
p = 8/3, q = 3/2, r = 0, s = 7/5
(iii)
p = 0, q = 8/3, r = 7/5, s = 3/2
(iv)
p = 8/3, q = 0, r = 3/2, s = 7/5
(v)
p = 8/3, q = 7/5, r = 0, s = 3/2
Question
3
3.
If
[
(
5
x
+
9
y
)
3
6
(
7
x
+
4
y
)
]
=
[
-8
3
6
-4
]
, find x and y
(i)
(
(
-4
45
)
,
(
-4
5
)
)
(ii)
(
(
-4
43
)
,
(
-36
41
)
)
(iii)
(
(
-4
43
)
,
(
-36
43
)
)
(iv)
(
(
-36
43
)
,
(
-4
43
)
)
(v)
(
(
-2
43
)
,
(
-36
43
)
)
Question
4
4.
If A =
[
(
−
5
x
+
4
y
)
(
5
x
+
8
y
)
(
2
x
+
4
y
)
(
8
x
+
y
)
]
=
[
4
6
a
b
]
,
find a and b
(i)
(
52
17
,
(
-7
32
)
)
(ii)
(
16
5
,
(
-7
30
)
)
(iii)
(
46
15
,
(
-1
4
)
)
(iv)
(
(
-7
30
)
,
46
15
)
(v)
(
46
15
,
(
-7
30
)
)
Question
5
5.
If A =
[
3
0
0
x
]
is a scalar matrix, then x = ?
(i)
3
(ii)
0
(iii)
1
(iv)
9
(v)
x
Question
6
6.
If X + Y =
[
-2
-12
-3
2
]
&
X - Y =
[
-6
0
13
16
]
, find X and Y
(i)
[
2
-6
-8
-7
]
,
[
-4
-6
5
9
]
(ii)
[
-4
-6
5
9
]
,
[
2
-6
-8
-7
]
(iii)
[
-4
-6
5
9
]
,
[
2
-4
-8
-7
]
(iv)
[
-5
-6
5
9
]
,
[
2
-6
-8
-7
]
Question
7
7.
If A =
[
-9
1
3
-8
]
and the sum of the values of
elements of matrix kA =
-52
, find k
(i)
5
(ii)
3
(iii)
4
(iv)
6
(v)
2
Question
8
8.
Given A =
[
5
-8
-3
1
]
and B =
[
a
−
8
19
b
−
5
19
]
,
if BA = I find a and b
(i)
a =
(
-1
19
)
, b =
(
-3
19
)
(ii)
a =
(
-1
19
)
, b =
(
-8
21
)
(iii)
a =
(
-5
17
)
, b =
(
-3
19
)
(iv)
a =
(
-8
21
)
, b =
(
-5
17
)
Assignment Key
1) (iii)
2) (iv)
3) (iii)
4) (v)
5) (i)
6) (ii)
7) (iii)
8) (i)
