Zadanie 4.1.9. Obliczyć A:
Jeżeli A =£ *
sina cosa cosa sina
Zadanie 4.1.10. Wykonać poniższe działania:
' |
‘ 3 0 |
2 |
’1 |
6 |
-l' |
fP 2] |
0 1 ' |
V | ||||
a) |
2 |
1 1 |
1 |
+ |
4 |
-4 |
4 |
32 3 |
-2 |
4 3 | ||
< |
-2 -1 |
3 |
1 |
0 |
1 |
> |
A3 4 |
-1 -2 |
J | |||
r_ |
1 -2 |
3 |
1 |
2 |
'5' |
r | ||||||
0 -2 |
4 |
0 |
2 | |||||||||
b) | ||||||||||||
1 3 |
5 |
-3 |
4 | |||||||||
- |
4 0 |
3 |
2 |
-1 |
Zadanie 4.1.11. Dla jakich xeR zachodzą równości:
r° |
2 |
3' |
2" | ||||
a) |
[l X |
3] -1 |
3 |
4 |
X |
= 0, | |
l® |
2 |
1 |
0 | ||||
'2 |
-1 |
1 2' |
t | ||||
b) |
[0 3 |
1 2x] |
3 1 |
4 -2 |
0 1 3 0 |
2 3 | |
0 |
1 |
1 -3 |
X |
Zadanie 4.1.12. Przedstawić macierz w postaci iloczynu macierzy trójkątnych:
'2 o r |
1 2 -1' | |
0 1 3 |
. b) |
4-12 |
4 2 6 |
i 3 1 |
Zadanie 4.2.1. Obliczyć wartość wyznaczników:
3 1 2 |
1 -1 2 |
2 4 3 | |||
b) |
4 9-3 0 1 2 |
» c) |
3 0 2 -3 2 0 |
, d) |
-3 2 0 4 -5 -2 |
5-12 |
2-14 |
, 8) |
13 4 5 3 0 0 2 |
»b) |
0 5 0 2 8 3 4 5 | |
2 4 3 4 -5 -2 |
,0 |
3 -2 1 -2 6 4 |
5 12 7 2 0 0 3 |
7 2 14’ 0 4 0 1 |
0 * |
y |
z |
10 |
5 |
-5 |
5 |
2 |
3 |
4 |
6 | ||
1 t |
0 |
0 |
, j) |
5 |
10 |
10 |
-5 |
. k) |
3 |
4 |
6 |
0 |
1 0 |
P |
0 |
-5 |
-15 |
5 |
10 |
4 |
6 |
0 |
0 | ||
1 0 |
0 |
9 |
15 |
5 |
-10 |
10 |
6 |
0 |
0 |
0 |
0 |
0 |
3 3 |
3 111 |
0 111 | ||
3 |
3 |
13 11 |
> m) |
10 11 | ||
2 |
2 |
n n 0 0 |
113 1 |
110 1 | ||
0 |
0 |
2 2, |
1113 |
1110 |
-1 |
2 |
3 |
1 |
1 | ||
i |
0 |
-3 |
2 |
1 |
0 | |
i i |
n) |
2 |
1 |
-1 |
0 |
2, |
4 |
1 |
-2 |
7 |
0 | ||
1 |
0 |
0 |
3 |
5 |
0 |
7 7 7 7 7 7 7 7 0 7 7 7 0 0 7 7 0 0 0 7
35