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Non Row Reduced - 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: Non Row Reduced, Initial, Augmented Matrix, Corresponds, System, Equations, Order, Span, Vectors, Verify

Typology: Exercises

2012/2013

Uploaded on 02/27/2013

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Math 205A Quiz 01, page 1 September 14, 2007 = NAME Suggested Solshons 1 —2 -6 1 —2 3 9 _ |-3 1. Suppose u, = 5 [U2 = |_yg]> 4s = |_39 ,and uy = 3 4 —8 —24 2 1A. What is the (initial, non-row reduced) augmented matrix which corresponds to the system 15 of equations you need to solve in order to find out if the vector b = i in the span of the 50 vectors Uy, Us, Uz, and u4? = Le ‘ BO SERe ee ie ‘ 2 Ks @ 5h past é G Wb 49 2 LL Re ‘ ‘ 4 -§ 24 iz 50 ¢ NeoTE | We wall abd write Be : fa ana auynentack rnnkrix (te Look cee. rut) 1B. An augmented matrix which is row equivalent to the correct answer to (1A) is given below; you do not need to verify this. Use it to determine if b is indeed in the span of uj, we, Ug, and uy. If b is not in the span, explain why not. If it is in the span, find all the linear combinations of uy, Uy, U3, and uy which add up to b (that is, find the solution of the system of equations refered to in (1A); if there are any solutions write them in terms of the free variables (if there are any)). 100 0] 2 : _, | 0 1 3 0}-4 Row equivalent matrix: 0001] § 0000] 0 The aug meted matix Sroule po inconsislney @ tet Oe in the span f diy thy hy 5 FA solhen gf he syslon rere! ho x=2 The price of df X22 -Y-3x, yaenkl meas Be GO - ma xo He 2 OF tie oe a. Lis te oypes Bimal fds yy Xy =