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Matrix - Linear Algebra - Quiz Solution, Exercises of Linear Algebra

This is the Quiz Solution of Linear Algebra. Mainly include Row Operation, Resulting Matrix, Requirements, Reduced Row Echelon, Reason, Particular Solution etc. Key important points of tags are: Matrix, Real Numbers, Equations, Values, Augmented Matrix, System, Row Equivalent, Copies of Row, Avoid Fractions, Coefficient Side

Typology: Exercises

2012/2013

Uploaded on 02/27/2013

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a f Math 205A Quiz 01 page 1 September 12, 2008 NAME Sunaected fon wg + 32, =p 1. Consider the system of equations a+ 5%. +3%3 + Try =t 202, + 100r2 + 62%3 + 14624 = w, where p, ¢, and w are three real numbers whose values we don’t know. 1A. What is the augmented matrix for this system? oO 0 { 3 P I 5 3 A t zo /00 G2 Ne |w 1B, By hand, find the matrix in RREF which is row equivalent to the answer in (1A). Show and label all your steps as we've done in class, for example, if you add 4 copies of raw 5 to row 8, write “rg — rg + 4rs”; if you swap rows 4 and 5, write “swap ry and rs”, etc. (you don’t need the quotes) Use steps that make the work easy; avoid fractions if possible. Note well that your column with p, ¢, and w will change as you change the coefficient side of the matrix. ° 3 P. @ . gg Gey ung ° ; ar oes = ee i GG 2G 10 joo 62 Mo | ee es wo) s he 756 be oem tne TL accyptik CO [ 3 P = tis ansuer CO co © w-20é “ep HOWEVER » if wW-1ok ~ tp #0 1C. Use the answer to (1B) to determine what relationship p, ¢, and w must satisfy in order for this system to have a solution. thin 10 The Original Si yates pea e) & Consiten€ hee 49 : Pi last ati mut. be. Z. ind Mut be OF ; Aus (04, Wires é more kpc ¢ t- Sel hr -b-d, (on Ie Fis Ml i REG PS eos dui os “Ee wW-19t-2p