Comparing the corresponding elements, we get
x + 3 = 0,
z + 4 = 6,
2y – 7 = 3y – 2
a – 1 = – 3,
0 = 2c + 2
b – 3 = 2b + 4,
Simplifying, we get
a = – 2, b = – 7, c = – 1, x = – 3, y = –5, z = 2
Example 5 Find the values of a, b, c, and d from the following equation:
2
2
4
3
5
4
3
11
24
a
b
a
b
c
d
c
d
+
−
−




=




−
+




Rationalised 2023-24
 42
MATHEMATICS
Solution By equality of two matrices, equating the corresponding elements, we get
2a + b = 4
5c – d = 11
a – 2b = – 3
4c + 3d = 24
Solving these equations, we get
a = 1, b = 2, c = 3 and d = 4
EXERCISE 3 1
1 In the matrix 
2
5
19
7
5
A
35
2
12
2
17
3
1
5


−




=
−




−


, write:
(i) The order of the matrix,
(ii) The number of elements,
(iii) Write the elements a13, a21, a33, a24, a23 2