         − 02 43 11           − 31 42 13 ...

⎛− 3 2⎞
⎛5
− 3⎞
⎛1
4 ⎞ ⎛1
a 5 ⎞ ⎛ 3 5 0⎞
a) ⎜ ⎟ , b) ⎜ ⎟ , c) ⎜ ⎟ , d) ⎜ ⎟ , e) ⎜ ⎟ .
⎝ 4 a⎠
⎝2
a ⎠ ⎝a
− 5⎠
⎝a
9 −15⎠
⎝−
2 1 a⎠
Domácí cvičení 10 – užití determinantu.
a) Určete inverzní matici k matici z domácího cvičení 9.
b) Vypočítejte objem čtyřstěnu ABCD.
1. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,0]
2. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,1]
3. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,2]
4. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,3]
5. b} A = [ 0,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,7]
6. b} A = [ 1,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,7]
7. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,7]
8. b} A = [ 3,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,7]
9. b} A = [ 2,0,2 ],
B = [ −1,0,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,7]
10. b} A = [ 2,0,2 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,7]
11. b} A = [ 2,0,2 ],
B = [ −1,2,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,7]
12. b} A = [ 2,0,2 ],
B = [ −1,3,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,7]
13. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,0 ],
D = [ −1,
−2,5]
14. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,5]
15. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,2 ],
D = [ −1,
−2,5]
16. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,3 ],
D = [ −1,
−2,5]
17. b} A = [ 2,0,0 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,5]
18. b} A = [ 2,0,1 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,5]
19. b} A = [ 2,0,2 ],
B = [ −1,1,
−1 ],
C = [ 2, −2,1 ],
D = [ −1,
−2,5]