3
1 Find the transpose of each of the following matrices:
(i)
5
21
1









−

(ii)
1
1
2
3
−






(iii)
1
5
6
3
5
6
2
3
1
−






−


2 If 
1
2
3
4
1
5
A
5
7
9
and B
1
2
0
2
1
1
1
3
1
−
−
−








=
=








−



, then verify that
(i) (A + B)′ = A′ + B′,
(ii) (A – B)′ = A′ – B′
3 If 
3 4
1
2
1
A
1 2
and B
1
2 3
0 1


−



′ = −
= 









, then verify that
(i) (A + B)′ = A′ + B′
(ii) (A – B)′ = A′ – B′
Rationalised 2023-24
MATRICES         67
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