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Course: MATH 526, Fall 2009School: Los Angeles Southwest...
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526 Math Quiz 1 Name: f(e y I Please circle yom section llIunhcr: 00] 002 You nmst abide bv the terms of tlw llonm code. No uikulettors are etllovverl. Ans\wr the follmving (!lH'stiOllS about the vectors u = [ 3 -1 ] . v [ = -1 ] ,and w = [ 10 : ~.) ~ .J . 2 :3. Ilull = lj (-I) ~ -f- ( 1)"1. +c3f -1. Give a unit vector parallel to u. G. \Yhic:h t \yo of these vectors arc...
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526
Math Quiz 1
Name: f(e y I Please circle yom section llIunhcr: 00] 002
You nmst abide bv the terms of tlw llonm code. No uikulettors are etllovverl.
Ans\wr the follmving (!lH'stiOllS about the vectors u =
[ 3
-1 ] . v [ = -1 ] ,and w = [ 10 : ~.) ~
.J
.
2
:3.
Ilull = lj (-I) ~ -f-
(
1)"1. +c3f
-1. Give a unit vector parallel to u.
G. \Yhi...
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Los Angeles Southwest College - MATH - 526
Math 526 Quiz 2Name: Please circle your section number: 001 002 You must abide by the terms of the honor code. No calculators are allowed. 1. Solve the following system of equations using Gaussian elimination on the augmented matrix representation o
Los Angeles Southwest College - MATH - 526
MatIl526 Quiz 2Nallil':Plcasc circle voke~11'scdlOn number: 001 002You must abide b,v tltt' terms of the honor code. No calculators are allowecl. I, Solve the following system of equations using Gaussian elimination on tlte augmented matr
Los Angeles Southwest College - MATH - 526
Math 526 Quiz 3Name: Please circle your section number: 001 002 You must abide by the terms of the honor code. No calculators are allowed. 1. Let A, B, and C be invertible n-by-n matrices. What is the inverse of the matrix M = ABCB?2. What is the
Los Angeles Southwest College - MATH - 526
Math 526 Quiz 3Name: /(el Please circle your section number: 001 002YOllmust abide by the terms of the honor code. No calculators are allowed. \Vhat is the inverse of the matrix1. Let A. E, and C be invertible n-by-n matrices.1MiU = AECB"?
Los Angeles Southwest College - MATH - 526
Math 526Test 1Namc:-=-t_-e-lll'-_Plcasp circle yom sectioll llumber: 001 002 ?\Iake yom answers clear and give the exact answer (71 and not 3.14, or ~ and not O.~3:33). Feel free to use the backs of the pages, but make sure you tell me t
Los Angeles Southwest College - MATH - 526
Math 526 Quiz 4Name: Please circle your section number: 001 002 You must abide by the terms of the honor code. No calculators are allowed.Find the reduced row 1 1 nullspace of A = 4 -3echelon form -2 4 5 -2 5 8 -8 22 38 6 -7 0of A,and then
Los Angeles Southwest College - MATH - 526
Math 526 Quiz 5Name: Please circle your section number: 001 002 You must abide by the terms of the honor code. No calculators are allowed.1 -6 1 4 -6 -24 0 0 1 4 -10 x = -38 . 1. Find the complete solution to A = -2 12 0 1 -11 -39
Los Angeles Southwest College - MATH - 526
l\1ath 526 Quiz 5I'\allle: ~y Please circle your sectio11 lHunhcr: 001 002K'{allmust abide]wthe terms of the hOllor cocle. No calculators are Rllmved.11. Find t he complete solutioll to A =()-')-6 1 4 -G 24 0 1 4 -10 ] x = [ -38 ] .
Los Angeles Southwest College - MATH - 526
Math 526 Quiz 6Name: Please circle your section number: 001 002 You must abide by the terms of the honor code. No calculators are allowed.1. What is the projection of the vector b = a1 = 1 1 1 0 and a2 = -2 0 -1 2 ?
Los Angeles Southwest College - MATH - 526
l'v1ath 526 Quiz 6;\am(':K<'-(Please circle your sectioll mU1l1wr: 001 002 You lll1lst clbide b:' 11)(' tenllS of the hC)1)or code. No caku18tors are allowed.1. \ 'hat is the proj eet iOll of the vector b =1 1 1-')lj :3onto the subsp
Los Angeles Southwest College - MATH - 526
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Los Angeles Southwest College - MATH - 526
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Los Angeles Southwest College - MATH - 526
Math 526 Quiz 8Name: Please circle your section number: 001 002 You must abide by the terms of the honor code. No calculators are allowed. 1. Find the eigenvalues and the associated eigenvectors of the matrix A = 3 2 ? 1 47 -2 8 2. What are the
Los Angeles Southwest College - MATH - 526
Math 526 Quiz 8Name: Please circleKefyOlllsectlOll number: 001 002EHeYou lllust Clbide by the terms of the honor code, No calc:ulCltorsallowed,1. Find the cigellntllles awl tll(; associated eigellvectors of the matrix A =kt([~ ~1- ;.[
Los Angeles Southwest College - MATH - 526
Math 526 Quiz 9Name: Please circle your section number: 001 002 You must abide by the terms of the honor code. No calculators are allowed. Find the solution to the initial value problem d dt u1 u2=4 8 3 2 = 12 1u1 u2 .,u1 (
Los Angeles Southwest College - MATH - 526
l\1ath 526 Quiz 9Name: /(~ Please circle your sectioll number: 001 0027You lllUst abide]J\"the terms of the honor code. No ccllculfltors are Clllow(xl.Find tIte solntion to the initial \";:due problellld [dt11:>.111]=[- :38] [
Los Angeles Southwest College - MATH - 526
Math 526 Quiz 10Name: Please circle your section number: 001 002 You must abide by the terms of the honor code. No calculators are allowed. 2 5 5 c1. For what values of c is the matrix A =positive definite?2. Consider the ellipse 8x2 - 4xy + 5
Los Angeles Southwest College - MATH - 526
Math 526 Quiz 10:-J"fUlle: )(T: y PleRsc eirel;your sectioll number: 001 002 You mllSt abide bv the terms of the hOllor code. No calcubtors are allowed.2. Consider the ellipse 8:/ J-cixy+ 5y 2 =1.(a) Finel a matrix A for which this equ
Los Angeles Southwest College - MATH - 526
Math 526 Test 3Name: Please circle your section number: 001 002 Make your answers clear. Feel free to use the backs of the pages, but make sure you tell me to look there if you want it graded. No calculators are allowed. 1. Let A = -2 -2 . 1 -4(a)
Los Angeles Southwest College - MATH - 526
Math 526 Test 3l\'UlH':Ve '(HJllI'Please circlcsection number: O()l OO:?Ill!'lvlal: YUUI' answors deal'. Fcc! fret' to usc the backs of the pages. hut make sure von tell to look there if YOU want it gI'Hdcd. No calculators are allowed.
Los Angeles Southwest College - MATH - 526
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