Partial preview of the text
Download Solution - Linear Algebra - Quiz Solution and more Exercises Linear Algebra in PDF only on Docsity!
Math 205A Quiz 02 page 1 January 18, 2008 NAME. sm gested 2? wy +22, +473 = 21 SoLn“s 1. Consider the system of equations 4x, + Tr2+13x3 = 72 3a, +4. +623 = 39. 1A. Use your calculator to find the RREF of the augmented matrix corresponding to this system and write the answer here. 32. =a ee o t 5 (2 Oo 0 0 iB. What does the answer to (1A) tell us the solution to the system is? (Answer using the standard notation developed in class) " ; ~3 tdx, x, = (2 - 3x, x= free. (ia, X, Can ke lees frbittarely ) 1C. Suppose the “4” in the third equation in the above system is replaced by a “5”. What is the RREF of the augmented matrix corresponding to this new system? o 1 6 a ° Oe ily 1D. What is the solution of the new system described in part (1C)? Verify that it works! ss one xa Ores SHQORPY HAC Sree Fl es 2 Aihes : eZ enhcellm ss He Hee DO ga7! west-v yell Qos P54 6046429? remind a / 1 2 4 21 a_i 2. Let v) = fl ,vg= ' V3 = | ,and b= a : CHEST) Le bs0. 3 4 6 39 2A. If possible, express the vector b as a linear combinations of the vectors v1, Vo, and v3 in two different ways, or explain why this cannot be done. [ = t i 2 r zt The queshin ale 6 Bd se dime obi # sip sal “Bl if prcll., le solved As. cmresponcliy syslion in (A) abgve., lls, «0 gid “Wt, -Ob-B 5 bl 22 2B. Is c = 2 in the span of ¥,, va, and v3! 40 ayel gues =, +7i,+ web ully explain your answer. Write down any matricg which support your conclusion. ’ Oh 2 2 » + le veel Cem Sanh tytn & KU ha 6%, oS heo & Sane Houtea te’, Bee Hi tqistto. bys BREF [| © ~2/0 inka “the auymeited matron éecpondiy 4 ths dydadion has O13 | ? "f : n eo all of tert. shang the syteon correponding fo ti veer eayenttem | ach : > é Bey ee ' a> = inconsistent , Haat ts, ot ee a ih the Gpaad #74, expe bo a LG 
