ࡱ>  z| yq~LzQ5@ bjbj22 "XXv>O>O>O>O"PviJR Z Z Z\]]]IiKiKiKiKiKiKi$jR moi]]]]]oi Z\io_o_o_]v Z\Iio_]Iio_o___ Z>R ;>O^v_U`i0i_m}^|m_t,J_hm_l]]o_]]]]]oioivvd*,d"^vvv,Please Answer the following questions, some are multiple choice, others require some work. 1. Write the augmented matrix for the given system:  EMBED MSPhotoEd.3  2. Use the system in problem #1. Without interchanging any of the rows in the augmented matrix, what is the first value which will be replaced with zero when using the Gaussian Elimination method?  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a.-1 b.1 c.3 d.5  3. Represent the given matrix with a system of equations in x, y, and z.  EMBED MSPhotoEd.3  a. EMBED MSPhotoEd.3 b. EMBED MSPhotoEd.3 c. EMBED MSPhotoEd.3  d. EMBED MSPhotoEd.3  4. Use elementary row operations to write the matrix in echelon form:  EMBED MSPhotoEd.3  a. EMBED MSPhotoEd.3  b. EMBED MSPhotoEd.3  c. EMBED MSPhotoEd.3  d. EMBED MSPhotoEd.3  5.  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1 Solve the system of equations by the Gaussian elimination method:  EMBED MSPhotoEd.3  6. Solve the system of equations by the Gaussian elimination method:  EMBED MSPhotoEd.3  7.  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1 When solving the following system of equations by the Gaussian elimination method,  EMBED MSPhotoEd.3  which of the following is NOT a matrix leading to the solution?  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a. EMBED MSPhotoEd.3  b. EMBED MSPhotoEd.3  c. EMBED MSPhotoEd.3  8. Given A =  EMBED MSPhotoEd.3 and B =  EMBED MSPhotoEd.3 , find A + B .  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a. EMBED MSPhotoEd.3  INCLUDEPICTURE "http://online.regis.edu/79947/Exam8/sol8a.gif" \* MERGEFORMATINET  b. EMBED MSPhotoEd.3  c. EMBED MSPhotoEd.3  d. EMBED MSPhotoEd.3   9.  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1 Given A =  EMBED MSPhotoEd.3 and B =  EMBED MSPhotoEd.3 , find A - B. a. EMBED MSPhotoEd.3  b. EMBED MSPhotoEd.3  c. EMBED MSPhotoEd.3  d. EMBED MSPhotoEd.3  10.  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1 Given A =  EMBED MSPhotoEd.3 and B =  EMBED MSPhotoEd.3 , find A + B.  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a. EMBED MSPhotoEd.3  b. EMBED MSPhotoEd.3  c. EMBED MSPhotoEd.3  d. EMBED MSPhotoEd.3  11. Given A =  EMBED MSPhotoEd.3 , find -3A a. EMBED MSPhotoEd.3  b. EMBED MSPhotoEd.3  c. EMBED MSPhotoEd.3  d. EMBED MSPhotoEd.3  12. Given A =  EMBED MSPhotoEd.3 and B =  EMBED MSPhotoEd.3 , find 2A - 3B.  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a. EMBED MSPhotoEd.3  b. EMBED MSPhotoEd.3  c. EMBED MSPhotoEd.3  d. EMBED MSPhotoEd.3   13. Find the product:  EMBED MSPhotoEd.3  EMBED MSPhotoEd.3   INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a. EMBED MSPhotoEd.3  b.Undefined c. EMBED MSPhotoEd.3  d. EMBED MSPhotoEd.3  14.  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1 Find the product:  EMBED MSPhotoEd.3  EMBED MSPhotoEd.3   INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a. EMBED MSPhotoEd.3  b. EMBED MSPhotoEd.3  c. EMBED MSPhotoEd.3  d.Undefined  15.  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1 When finding the product,  EMBED MSPhotoEd.3  EMBED MSPhotoEd.3 how many pairs of numbers must be multiplied together?  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a.3 b.9 c.12 d.27  16.  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1 For the product,  EMBED MSPhotoEd.3  EMBED MSPhotoEd.3 what will be the element in row 3, column 1?  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a.8 b.3 c.0 d.-4  17. Given these matrices and their dimensions: A3x2, B3x2, and C2x4 Which of the following can NOT be performed?  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a.A+B b.3C c.AxB d.AxC   HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1 FOR PROBLEMS 18 - 20 USE THESE MATRICES: A =  EMBED MSPhotoEd.3 B =  EMBED MSPhotoEd.3  18. Find A2,1  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a.1 b.2 c.3 d.4  19.  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1 If C = AxB, the order of C is:  INCLUDEPICTURE "http://online.regis.edu/web-ct/en/img/shim.gif" \* MERGEFORMATINET  a.1x3 b.3x1 c.3x3 d.unable to determine 20. If C=AxB, find C2,1.  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HTMLHidden-DefaultOcxName321, 9, 11, MSForms, HTMLHidden-DefaultOcxName231, 8, 12, MSForms, HTMLHidden-DefaultOcxName32, 13, 13, MSForms, HTMLHidden-DefaultOcxName23, 14, 14, MSForms, HTMLHidden-DefaultOcxName14, 15, 15, MSForms, HTMLHidden,DefaultOcxName7, 16, 16, MSForms, HTMLHidden-DefaultOcxName141, 7, 17, MSForms, HTMLHidden,DefaultOcxName71, 6, 18, MSForms, HTMLHidden,DefaultOcxName37, 5, 19, MSForms, HTMLHidden,DefaultOcxName26, 4, 20, MSForms, HTMLHidden-DefaultOcxName17, 33, 21, MSForms, HTMLHidden,DefaultOcxName9, 28, 22, MSForms, HTMLHidden-DefaultOcxName16, 27, 23, MSForms, HTMLHidden-DefaultOcxName25, 26, 24, MSForms, HTMLHidden-DefaultOcxName34, 25, 25, MSForms, HTMLHidden-DefaultOcxName15, 32, 26, MSForms, HTMLHidden-DefaultOcxName24, 31, 27, MSForms, HTMLHidden-DefaultOcxName35, 30, 28, MSForms, HTMLHidden-DefaultOcxName10, 29, 29, MSForms, HTMLHidden-DefaultOcxName13, 24, 30, MSForms, HTMLHidden-DefaultOcxName22, 23, 31, MSForms, HTMLHidden-DefaultOcxName33, 22, 32, MSForms, HTMLHidden-DefaultOcxName112, 3, 33, MSForms, HTMLHidden,DefaultOcxName41, 2, 34, MSForms, HTMLHidden-DefaultOcxName110, 1, 35, MSForms, HTMLHidden+DefaultOcxName5, 0, 36, MSForms, HTMLHidden-DefaultOcxName36, 37, 37, MSForms, HTMLHidden-DefaultOcxName27, 38, 38, MSForms, HTMLHidden-DefaultOcxName18, 39, 39, MSForms, HTMLHidden-DefaultOcxName19, 40, 40, MSForms, HTMLHidden,DefaultOcxName8, 17, 41, MSForms, HTMLHidden-DefaultOcxName12, 12, 42, MSForms, HTMLHidden-DefaultOcxName21, 11, 43, MSForms, HTMLHidden-DefaultOcxName31, 10, 44, MSForms, HTMLHidden-DefaultOcxName38, 45, 45, MSForms, HTMLHidden-DefaultOcxName29, 46, 46, MSForms, HTMLHidden.DefaultOcxName111, 47, 47, MSForms, HTMLHidden-DefaultOcxName30, 48, 48, MSForms, HTMLHidden.DefaultOcxName211, 16, 49, MSForms, HTMLHidden.DefaultOcxName311, 17, 50, MSForms, HTMLHidden.DefaultOcxName101, 18, 51, MSForms, HTMLHidden.DefaultOcxName131, 19, 52, MSForms, HTMLHidden.DefaultOcxName221, 20, 53, MSForms, HTMLHidden.DefaultOcxName331, 21, 54, MSForms, HTMLHidden.DefaultOcxName171, 22, 55, MSForms, HTMLHidden.DefaultOcxName151, 23, 56, MSForms, HTMLHidden.DefaultOcxName241, 24, 57, MSForms, HTMLHidden.DefaultOcxName351, 25, 58, MSForms, HTMLHidden.DefaultOcxName301, 26, 59, MSForms, HTMLHidden/DefaultOcxName1111, 27, 60, MSForms, HTMLHidden.DefaultOcxName291, 28, 61, MSForms, HTMLHidden.DefaultOcxName381, 29, 62, MSForms, HTMLHidden.DefaultOcxName191, 30, 63, MSForms, HTMLHidden.DefaultOcxName181, 31, 64, MSForms, HTMLHidden.DefaultOcxName271, 32, 65, MSForms, HTMLHidden.DefaultOcxName361, 33, 66, MSForms, HTMLHidden,DefaultOcxName51, 0, 67, MSForms, HTMLHidden.DefaultOcxName1101, 1, 68, MSForms, HTMLHidden-DefaultOcxName411, 2, 69, MSForms, HTMLHidden.DefaultOcxName1121, 3, 70, MSForms, HTMLHidden-DefaultOcxName261, 4, 71, MSForms, HTMLHidden-DefaultOcxName371, 5, 72, MSForms, HTMLHidden-DefaultOcxName711, 6, 73, MSForms, HTMLHidden.DefaultOcxName1411, 7, 74, MSForms, HTMLHidden.DefaultOcxName2311, 8, 75, MSForms, HTMLHidden.DefaultOcxName3211, 9, 76, MSForms, HTMLHidden/DefaultOcxName1611, 11, 77, MSForms, HTMLHidden/DefaultOcxName2511, 12, 78, MSForms, HTMLHidden/DefaultOcxName3411, 13, 79, MSForms, HTMLHidden.DefaultOcxName811, 14, 80, MSForms, HTMLHidden/DefaultOcxName1211, 15, 81, MSForms, HTMLHidden/DefaultOcxName2111, 16, 82, MSForms, HTMLHidden/DefaultOcx %*'0 %*)( %*/X$ %*w# %*Q" %*! %*1P, %*+H+ %*-xx*0 %*9  %*; %*=H %*?@ %*Ghp) %*] %*s %*K8 %*0 %*A`  %*3 %*5 %*S( %*UX  %*WP %*Y@ %*a %*[  %*CP %*EH %*_`x %*  %*  %*  %*kp8% %*mh& %*o' %*q( %*0  %*`( %*IX %*  %*{- %*} . %*P  / %* H 0 %* 1 %* 2 %* 3 %*X  4@  %* P 5 %* 6 %* 7 %* 8 %*H  9 %*x @ : %* p ; %* < %* = %*8 > %*h 0 ? %* ` @ %* A %* B %*O0 C %*` ( D %* X E %* F %* G %*  H %*PI %*HJ %*xK %*L %*M %*@N %*p8O %*hP %*Q %*R %*0S %*`(T %*XU %*V %*W %* X %*PY %*HZ %*x[ %*\ %*] %*@^ %*p8_ %*h` %*a %*b %*8c %*h0d %*`e %*f %*g %*(h %*X i %* Pj %* k %* l %*m %*Hn %*x@o %*pp %*q %*r %*8s %*h0t %*`u %*!v %*#w %*%(x %*'X y %*)Pz %*+{ %*-| %*/} %*1H~ %*3x@ %*5p %*7 %*9 %*;8 %*=0 88*\R8005*#83xAttribute VB_Name = "ThisDocument" Bas1Normal.VGlobal!SpaclFalse CreatablPre declaIdTru BExposeTemplateDeriv$Custom izC1ControlDefa@ultOcxm2, 3, 0, MSFs, HTMLHidde^n" #1;", #9D@2#:q@4, y5, "2"1Z6V8@$734W825z916aXoAX,1` 5_23#1Xa,1`>1`PaO1@Ya,a `Y5`t1Y2@42Y13FAZן##2#2_Y2@2_Y2 ,!$2_Yo3!0?oss031 xQC1s3 3#1s110t!( s'#1s"11s1] st ooo`Ls#3:___S3G0s0380ms11,3,BPU]411oood #a(4ps!b!4,s9qC4,oo!4(1t 4,1s10Y41s2 ѓ4 P 5P-10Ga6!ߏB$` 5O-O$C$@rol = "DefaultOcxName221, 20, 53, MSForms, HTMLHidden" Attribute VB_Con2t3354;17H25!7أ>7Zv7$>7`1"->7Z23!>7Z 32 >f7Z 16 a7Z: 25" @67Zu: 3-1R?[: 8[B68?[ 11PM$4Bd1`8-OOֈ$?1`8-I`8..1`8.0 8/.08/.Жp8/.22p8$$$$22p9?.? ? 6 p? ? ? 3 30q72p9?.? ? w2A 9O.߯09O.3bE29O.P0 a9O.ߟ2 q9O.ߟp1 9O.ߟp9O.ϟ2-10?.0 !AO.O.O.C.p7``10@o1ep10@@ y-10O.3“-10O.0 -10O.ϖq.10_..10o.ddgen" Attribute VB_Control = "DefaultOcxName32111, 9, 10MSForms, HTMLHid2d(1611H0, 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A J _ a j     > @ K ` b k    # % . C E N c e w   ' < > G \ ^ o   ! # , A C _ t v w 46?TV^135')*LNOqstoq35G\^_tv'IKLnpq+ BDdik:C::::::::::[[::[[[[:C:::::C:C:::[[[[::::::[[[[::C:::::::::::C::::::C:::[[[[::C:::[[[[::C[[[[::CC[[[[::C[[[[CC"$'0369cfi l !    #&),8; >!A8@0(  B S  ?RA A ^6'ERA A ^6'ERA A ^6'ERA A ^6'ECCSD0~IKK N]^KKpWtKKJRc7FB 3Gyp!(.W(59EMShIxQqoT ++&CYZ]vwx{458STUXstuxWX[vwx{efi ;<& ' * E F G J e f g j  ) * + . I J K N g h     ' ( ) , G H    :;<?XYstw|}~ $%  mnqwxy|@P@UnknownGz Times New Roman5Symbol3& z Arial7&  Verdana"1h;âۢ& * *!4S _3QK ?Rc?You are a secret agent who has been given these three matrices:CCSDCCSD