( a * A )T = aT * At
1 3
0 -2
1 |
' 1 2 " |
r | |
* |
2 |
-1 |
= |
0 |
-2 |
- |
2*1+ 1*2+ 3*0 2*2+1*—1 + 3*-2
4*1 + 0*2 + -1 *0 4*2+0*-! +-2*-2
m*n
2 + 2 + 0 4 + -1 + -6
4 + 0 + 0 |
8 + 0 + 4 |
4 |
12 | ||||
' 1 2 ' |
1 * 2+ 2*4 |
1 * 1 + 2 * 0 |
1*3+ 2♦—2 | ||||
' 2 1 |
3 | ||||||
2 -1 |
* |
4 0 |
-2 |
= |
2*2+-1*4 |
2*1 + -1 *0 |
2*3 + -1*-2 |
0 -2 |
0 * 2 + -2 * 4 |
0*1 + -2*0 |
0 * 3 + -2 * -2 |
'2 + 8 |
1 + 0 |
3-4 |
10 |
1 -f | |
4-4 |
2 + 0 |
6 + 2 |
= |
0 |
2 8 |
0 1 oc |
0 + 0 |
0 + 4 |
-8 |
0 4 |
Definicja mnożenia macierzy
Mnożenie macierzy nie jest przemienne