Now
3
3
1
5
2
0
2
2
2
2
2
2
4
3
1
P + Q
3
1
0
3
1
3
4
B
2
2
1
2
3
3
5
1
3
3
0
2
2
−
−
−
−








−
−






−






=
+
= −
=








−
−






−



−
−








Thus, B is represented as the sum of a symmetric and a skew symmetric matrix EXERCISE 3 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