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PARORAMATA

gia to biblÐo “Eisagwg  sth GRAMMIKH ALGEBRA”

• Sel. 2 To Σj na gÐnei

α1j...

αnj

.

• Sel. 136 Sth gramm  -8 to[

1 · · · 0 | κs+1,s · · · κns

]T na antika-tastajeÐ apì to

[0 · · · 1 | κs+1,s · · · κns

]T .

• Sel. 195 Sth gramm  1 to w1 ∈ Imf na antikatastajeÐ apì tow2 ∈ Imf .

• Sel. 232 Sth gramm  -5 to ii) na gÐnei iii).

• Sel. 235 To b' mèloc thc pr¸thc exÐswshc tou sust matoc thcask.15 na gÐnei − 6κ.

• Sel. 261 Sth gramm  -13 to λ−1i |A−1||A− λiIn| = 0 na gÐnei

|λ−1i A−1||A− λiIn| = 0.

• Sel. 271 Sthn arq  kai sth mèsh thc selÐdac to Pφ(x) isoÔtai me(−1)n(x− λ1)

t1 · · · (x− λr)tr kai

(−1)n(x− λ1)s1 · · · (x− λr)

sr antÐstoiqa.

• Sel. 291 Sthn ask.3 o pÐnakac A na antikatastajeÐ apì ton pÐnaka

0 1 00 4 1

−5i 5 i

, kai sthn telautaÐa gramm  tou iv) thc

ask.4, to mA(x) isoÔtai me (−1)nPA(x).

• Sel. 296 Sth gramm  8 na sbusjeÐ to: “ < κv + λw, u > = ”.

• Sel. 317 Stic grammèc 8 kai 10 oi anisìthtec na gÐnoun 1 ≤ i, j ≤ n

kai 1 ≤ i ≤ n.

• Sel. 323 Sth gramm  -2 to orjokanonikì na gÐnei orjog¸nio.

• Sel. 323 Sto tèloc thc pr¸thc gramm c to κi < v, vi > naantikatastajeÐ apì to κi < vi, vi >

2

• Sel. 327 Sth gramm  1 to w2 na antikatastajeÐ apì to <v2,w1><w1,w1>

w1.

Sth gramm  3 na sumplhrwjeÐ:w3 eÐnai to v3 meÐon thn orjog¸nia probol  tou v3 . . .

Pio genik� to wi eÐnai to vi meÐon thn orjog¸nia probol tou vi . . .

• Sel. 354 Sto iv) na gÐnei: An {v1, . . . , vn} . . .

• Sel. 357 Sthn pr¸th gramm  na gÐnei: Prìtash 7.1.4.

• Sel. 393 Sth gramm  3 to zx na gÐnei z.

• Sel. 399 Sth gramm  3 na gÐnei:dhl. eÐnai autoprosarthmènoi pÐnakec oi orjog¸nia . . .

• Sel. 444 Sth gramm  -2 to =Σ1→Σ1−Σni=1,...,n−1 na gÐnei =Σi→Σi−Σn

i=1,...,n−1 .

• Sel. 451 Sthn Ask.3, to stoiqeÐo sth jèsh (3,3) tou pÐnaka AB nagÐnei Ðso me 0, opìte o tÔpoc thc f gÐnetaif(x, y, z) = (x, x− y − z, y).

• Sel. 465 Sth gramm  7 na gÐnei: A−1 = 1/12(A2 + 2A− 7I3).

• Sel. 468 Sth gramm  7 to w2 isoÔtai me v2 − <v2,v1><v1,v1>

v1.