mat 201 lineer matematichs, Exams of Mathematical Statistics

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“ MAT-201 Dogrusal Cebir Final Sorular Ad Sayad: 1 2 3 4 5 Toplam Numara: Agklamalar: Sire 120 dakikachr. Her sorudan TAM PUAN aimak icin céziimlerinizde gerekli ve yeterli tiim agiklamalar yapilmalidir. BASARILAR 29/11/2018 Li) <->: BR? x R? = RB, her wu = (u,4z),uv = (e1,02) € Re igin < ue >= duye, + Quave ile tammlanan bu kural bir i¢ garpim fonsiyonu mudur? (5 p) 2 a) Yue R> , kaye hut+ 9a. 20 ve duu» =O & U=0 () cuuyco = dut+ 9uz—0 = ufo Auteo = uy20,42=0 => ualupd= (4) usta) =O => us0,u250 = 4u*+ gu,*= 0 =4u,u> cerprrarun dej.d- b) Vue IR, CU, s> agate = © Cut) + Guys.) = Acundsi + Guys, = CCU, FF Lasulla seglondiGindan aruda torimiones kurel lic feserpim Presider. i) V bir vektér uzay: ve S = {v,, 02,3} ise V nin lineer bagimsiz bir alt kiimesi olsun. Bu durumda T = {v, + 2u2 + v3, 20% — v3, v; + 3vg} kiimesi lineer bagiumsiz midir? (5 p) T ktmesinin linear bagimsizhgins opstermek icin j CHC By 4 Oe +g) Fla C2) + CZ 0H 4303) 20 ken Gececyed Old. GXctercea A ( a+ C3) + Wo 2e;+2C2) + 93 ¢ M-C2-3c,) =O ve SH | lin. bast2 of Wg, Vy veer Srier in in per diel! Hineer kombresymicrinin OF olrrasy dorumunde totsoyilo- 0 ol kur: . . : Cy+e, =O 1ar.e -nataa|) 2 12 Bae oc LOolsvoa fa Je eeu 2 420,=0 DLO, | pl 2 20,9) MNP 2-210 |Z Gjol-1o crlles 4-4 310 o -12:0 O-1.2,9 ~~ Jo-12,¢ y- Ca 3 Qe tows (at'oa 130160 u =r 4 u4H2G lo 1 -lie earns o\o1o |) 010,40 Oo Oo41;,0 ao1jo aoO0l oa Gage egnO old. T kimesi Gineer bagimsiecic