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keytest2 - NAME: _ kill... __ MATH 2090 _ TEST 2 SHOW ALL...

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Unformatted text preview: NAME: _ kill... __ MATH 2090 _ TEST 2 SHOW ALL WORK 1. Use row operations to refines: the given matrix and then evaluate the determinant. 2 --1 3 7 4—“? 'i #2.. Li 3 . __2. Lt 3 Mg): 1 ‘2 4 3 '2 w i 3 '3‘ r: __ 2, 1 .4 '3» "31 Rf 3.22, u l f #1 Li QHWQHMQI ' i w 2. Li 3 ‘- i a 2L 41‘ 53) _ J, :2 ‘”‘z 0 5 F5 ‘ l3:71—10 o 3 "S 1' HR” if 0 ‘0 “a [O “5772;. o ' "‘ ‘ o i o #5 O | o W ‘5 I —- 2 2+ 3 l a 2 H 3 7’: 20 O I O #5! z 2 O 0 i 0 “5 O 3 — 5 i g“ gflq‘-3Rl O t. 5’ I G gqefififij j ... 2. if 3 ' 3:: 2.0 . O , 0 as ,— 20(I)C()(~i)(—~L{)a= {:30 c: O 0 “Li 2. Let A and B 4 x 4 matn'ces such that det(A) = 5 and det(B) = 3. Compute the determinant of the given matrix. - (M235 "To; ataxia-7}. aaflkfijddfififi IMajflaomD: (b) (/1432 )3 : (£1,664?th (flea/Vet}: 3.LetA=[ I 1 2 —I I 1 2 —I .2‘ I' Hgi 3 / \ F.— I . @ Mm canal fir (WEJL .? 33%;? , Find det(A) using cofaetor expansion about column52 only. 507 :7 _ 6V 6. Let S be the subspace of R3 spanned by the vectors v] =(1,2,~1),v2 = (2,—1,1),and v3 = (8,1,1) . Determine a basis for S, and hence, find dim[.S]. % 'rfi . .: EAfé (A) : (flicxugflibl-egsg 571W cftvhvxZ-R33723 . We couflrf who”? 1% s! I it? LI Cl U1 4‘ (2 U; + C3 0-3 r: :3) 1:7 2 H] (50%, »— 7 '2. $3 ' O I Z 3? O s Jr W Q__ r-—\ I , O O 5 O «4(5) ? - M5 Ci f1 J... l | I f 0 R3“? 0 0 3(5) {J » I (L? we 05:5,; QM L D (v I 2 g }O (:5 J; t VLfiu‘ r/ fie r‘i’L (a: O I I 0 _Cx:_3t __ 2‘ vf ,._ 3V1:- .4;w 371/3 in: O fair 0 0 L9 I” :s .._x__ :1: -fl _ U 7. Are the polynomials {P1 (I) = 1, P: (x) : x, is); (x) =‘Ifi§1"(3x2 —1)}_§basis for v-eEtor spac-e' _ _ x of polynomials of degree at most two)? Justify your answer a mfg, I . '1 1. gamma) arm/'1 [pa :3 LPHFWC): of: ,. . A; ‘4‘ "I O f 320 fa {. g {PI/touiél 7L0 O O 3 flaw Mae 1% sf {P1 I RT j to 8. Determine ifthe vector v: (1,4,—2,6)1ies in Span{vl,v2} where v] :(1,2,0,4) and v2=(1,1,1,3) are in R4 "Ti V6 Wmim :L’rizj «'va (ex 2 (2 5Q Smear I" I: C JFCZUE. 9. Letf1(x) = sinhx, f2 (x) = coshx, anclf3 (x) =e". Is the set { f1 , f2, linearly independent? Explain your answer. Air] in '15.. (4.34314 3c. 6': r”:- Wfi'rflliflfij v: COSinc— Mini/UL fix. _:_._ J- fgmLL 6051471, {W Sums midi New; «m 7%.(7 game no ('m’ogofimq / it Walk cmelbm‘c} (“j/V6 / {at We kmaaa éézt‘ —3(. K _)C “will: 1' I: 6.34:1: (5441;:d— 6' +6 2/ 2.. P7 fl’L— I; 57114.71; HMIg-ex Mm __ f _ I I "Zn-m"? K 3 fl (xi/1L Avian/«V65, ,_._._- ...
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keytest2 - NAME: _ kill... __ MATH 2090 _ TEST 2 SHOW ALL...

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