'3 2 1 |
*13 3 | |||
a) det |
-1 1 -2 2 1 x + l |
= 0 |
b) det |
1 3 - x 3 1 2 5 + x |
Zadanie 2. Rozwiąż równie
V |
3 i |
'2 x + 2 -1' | |||
a) det |
X 0 |
-1 1 1 4 |
= 0 |
b) det |
1 1 -2 5 -3 x |
Zadanie 3. Niech w = . Obliczyć wyznaczniki macierzy:
’ 1 |
w |
w2' |
' 1 |
1 |
M' |
‘w2 |
w |
1" | |||
A = |
w |
w2 |
1 |
5 = |
1 |
1 |
w2 |
C = |
w |
w2 |
1 |
w2 |
1 |
w |
w1 |
w |
1 |
1 |
1 |
w2 |
'1 1 2 |
1- i_ | ||
A = |
2 5 7 |
B = |
2 4 10 |
° 2 2 |
3 6 15 |
2 |
1 |
1 |
1 | |||||
1 |
3 |
1 |
1 | |||||
1 -1 |
0 |
2 |
f |
1 |
1 |
4 |
1 | |
3 1 |
1 |
3 |
2 |
D = | ||||
1 |
1 |
1 |
5 | |||||
-1 -3 |
-1 |
1 |
0 | |||||
1 |
2 |
3 |
4 | |||||
1 |
1 |
1 |
1 |
Zadanie 2. Wyznacz rzędy macierzy w zależności od wartości parametru a:
'l |
2 |
-1 |
1 ' |
a |
1 |
1 |
1 |
\ | ||
5 |
1 |
2 |
1 |
1 |
a |
1 |
1 |
1 | ||
A = |
4 |
-1 |
a |
0 |
8 = |
1 |
1 |
a |
1 |
1 |
3 |
a |
4 |
-1 |
1 |
1 |
1 |
a |
1 |
A =
'1 |
2 |
-3' |
'! + / i |
1-/' | ||
0 |
1 |
2 |
B = |
i |
i |
0 |
0 |
0 |
1 |
1 |
0 |
4 |
2 |
1 |
0 |
0 |
1111 | |
3 |
2 |
0 |
0 |
D = |
11-1-1 |
1 |
1 |
3 |
4 |
1-11-1 | |
2 |
-1 |
2 |
3 |
1-1-1 1 |