Ksujf/uwciśiL&ł, fiu zaaan
9.97. Nie.
9.98. Tak.
9.99. Nie.
9.100. Tak.
9.103. Nie. 9.105. Tak.
9.106. Nie.
9.114.
1 |
-1 |
0' |
-1 |
1 |
1 |
3 |
2 |
to |
1 |
-1 |
-1 |
1 O o |
1 O co |
'-3 0' | |||
9.115. a. |
0 3 —1 -1 |
, b. |
0 -3 -2 4 |
, c. |
4 1 -2 1 |
9.116. a.
b.
0 0 0
1 1 -1
c.
9.117. T(l, -1,2) = (2,4,8), T(-3,2,0) = (-5, -6, -11).
9.118. (-3,2,-8).
9.119. (-5,9).
9.120. (4,-2,-4).
9.121. (i,-2,|).
T |
2 |
-1' |
'-1 |
1 |
0' | ||
9.122. a. |
1 |
0 |
1 |
, b. |
2 |
-1 |
1 |
1 |
-1 |
1 |
0 |
2 |
0 |
9.127. Np. (1,0), (1,1) oraz (1,2), (2,5).
9.130. (-1 +i,-l).
9.134. kerT = Ix {0}, ranT = {0} x R.
9.135. kerT = {0} x R, ranT = {0} x R.
9.136. kerT = {(0,0)}, ranT = M2.
9.140. kerT = R x {0}, ranT = {(a, 2a) : a € R}.
9.141. kerT = {(x,y) : y = 2x}, ranT = Rx {0}.
9.142. kerT = {(x,y) : y = — #}, ran T = lx {0}.
9.150. 2. 9.152. 2. 9.154. 2.
2 0 0 1
-2 0
0 1
0
3 '
9.123.
2 -1 0"
1 1 -3 '
9.126.
1 0 0 1 '
9.151. 2.
9.153. 2.
9.155. 2.
10.5. 63.
10.6. -18.
10.9. 2i.
10.19.
10.20. 10.21.
10.22.
10.23.
10.24.
10.26.
10.27.
10.28.
10.29.
- 1 2 |
-1 |
f |
0 |
-2 |
1 |
1 - 4 |
1 |
1 2. |
r9 |
5 |
31 |
\6 |
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'36 |
16 1 |
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L 8 |
8 |
4. |
r 5 |
2 | |
13 |
13 | |
3 |
9 | |
\3 |
¥ 13 | |
. 13 | ||
r 3 2 |
-2 |
—2 |
1 |
1 |
1 |
1 |
1 |
0 |
10.30.
-3 |
0 |
1 |
-19 |
1 |
5 |
4 |
0 |
-1 |
r 1 i n
I ? J
44 4 •
-1 o 1
fi _J7 13-|
2 2 2
0 4-3
0 -1 1
10.25.
- 11 |
7 |
1 |
1 I |
\5 15 1 |
f |
¥ | ||
. 4 |
5 |
20 |
10.13. Ol\\ Ol22 • • •
/ \ n(n+3)
10.14. (-1) 2 a\ c*2 ... OLn.
10.15. -2 (n- 2)!.
10.16. -ai ... an (^ + ... + ^).
10.18. x\ = 2, Z2 = —2, 3:3 = 3, 3:4 = —3.
i __'f •
-1 -1
'i _ r
J J •
2 1 _2"
_I I I
r i i _n
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- 6 3 6 J 10.31.