Question
T6 2 Express the matrix 2 3 12. – 27 1 as the sum of a symmetric and a skewsymmetric matrix, 3
Solution
let A
16
2 2
7 Cnote.
 1
2
3
a ic
(note:
À icasynmetics
L
5

3
matx bCS AF
We know, symmetric matrix =
 16 6 2.2
 2 3  H H
2  3
1 CA +A')
6 2 291
3 
2  3
T12
7
 4
6
4
 2
u
 2
6
LON
1 2
3
&
Skew
w
symmetric ma
6 2 2916221
12 3
 12 3  4
 3 2  3
To oo
To oo
LoooL
I 6 
2 2 6 2 27 fool
3  1   2 3  Fool
2 + 3 1 2 13 toon
Hence
trom