108APracticeQuizI

108APracticeQuizI - f Na me: M ..u- Mathematics 108A:...

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Unformatted text preview: f Na me: M ..u- Mathematics 108A: Practice Quiz I May 19, 2010 Ploi'ossol 3 Douglas Moore True—False. Cilcle the best: answm to each of the following questions Each question is WOlbll ‘2 points 1 If iii-"1;: {(171,1'3) Eli-313 :m‘1 +1122 == 0}, amd i-Vg “3 {((E§,.’1;2)E [P12 : (1:2 2" 33:1}, then if?2 is the clilect sum of W} and ii"? FALSE 2. if W1 :2 {(:51,:1;g,:u3) E 1913:.1'1 + 2:2 w 23:3 = 0}, and Ww : sziil{l,1,1}, shew W13 is the clizect sum of W1 anti W2 TRUE 3 Regard V = Jl-Ig_g(C) as a vectc‘n space oval F91, and lot 10 2' 0 U—(o 1i filo o E F 012 J=(m10>* I‘"(u‘ 0) Then the list (U, I, 47,11") is a basis fm the subspace lill z: {A E Illg‘gUC) : A m H] + :51 + 3].] + :K, Whole t,:L‘,y, : 6 ill“. «1 if addition is VCCEOI addition and multiplicatimi is matlix multiplication, than H satiafies all of the field axioms except fol the comnmtntive law FALSE 5. Lot: 11" be the subspace of Pi" defined by W : spanfll, 2,0,5),(0,0,1,4)) The“ ((1,2,(J,5),(U,U,1.41)) is a basis i0] W FALSE (3. Let: W‘L be the 01 {.hogmml cmz'lplemez‘lt to the space W cousidezed in the pieceding [3101)]e11‘i. Then {(——2, 1,0,0),{—n§,(}. -5,1)} is a basis for Wi ’K TRUE @ 5mm Isa (“520,”‘9’1H 7 Le%; LA : IR“ --+ IP32 be the lineal maps defined by L,.‘(x) : A): ,where A m Dix? W0 n'é-Q’I \_._/ Then ((m2,1,0.0),(—4,0,-—5, 1)) is a basis f01 N[T) TRUE 8 Let: LA rip-:2 -——a 3152“ be the lineal maps (Eefined by L,;(X) : Ax ,wilel'e A : and:on Then ((1,2,0,5), (0,0,1,4)) is a basis {0: RC1“) FALSE {0 ...
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This note was uploaded on 06/05/2010 for the course MATH Math 108a taught by Professor Moore during the Spring '10 term at UCSB.

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108APracticeQuizI - f Na me: M ..u- Mathematics 108A:...

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