Construct a 3 × 4 matrix, whose elements are given by:
(i)
1 | 3
|
2
aij
i
j
=
−
+
(ii)
2
aij
i
j
=
−
6 Find the values of x, y and z from the following equations:
(i)
4
3
5
1
5
y
z
x



=








(ii)
2
6
2
5
5
8
x
y
z
xy
+



=




+



(iii)
9
5
7
x
y
z
x
z
y
z
+
+


 


 
+
=


 


 
+


 
7 Find the value of a, b, c and d from the equation:
2
1
5
2
3
0
13
a
b
a
c
a
b
c
d
−
+
−




=




−
+




Rationalised 2023-24
MATRICES         43
8 A = [aij]m × n\ is a square matrix, if
(A) m < n
(B) m > n
(C) m = n
(D) None of these
9