Math 2333 - Math 2333 Practice Midterm #1 Fall 2010 Name _...

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Math 2333 Practice Midterm #1 Fall 2010 Name _____________________________________ 1. Solve the following system of linear equations using Gauss- Jordan elimination. 36 2 49 2 6 11 x yz xyz + += ++= +
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2. Solve the following system of linear equations using Gauss- Jordan elimination. 7 2 3 18 31 x yz x xy z + += + −+ =
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3. If ( ) 2, 1, 3 U =  , ( ) 1, 3, 2 V = −−    , and ( ) 3, 2 , 1 W = , compute 25 UV W +− . 4. Is the set of all vectors of the form ( ) a, a 1, b + a subspace of 3 ? Why or why not? 5. Is the set of all vectors of the form ( ) a, b, 2a 3b + a subspace of 3 ? Why or why not?
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6. The general solution for a system of linear equations is given by ( ) 4r 2s, r 3s, r, s + −− . Give a basis for this subspace and its dimension. 7. If ( ) 4, 3, 2 u = , compute the length u . 8. What is the cosine of the angle θ between the vectors
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This note was uploaded on 02/09/2011 for the course BA 2301 taught by Professor Mattpolze during the Spring '08 term at University of Texas at Dallas, Richardson.

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Math 2333 - Math 2333 Practice Midterm #1 Fall 2010 Name _...

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