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MATH3305 Practice Exam 1

# MATH3305 Practice Exam 1 - Name Linear Algebra Practice...

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Name:__________________ Linear Algebra Practice Exam 1 Spring, 2008 Show all your work on the pages of this exam. 1. Let (a) To zero out the 1 below the diagonal in B, the row operation _____________ is used. After this row operation is performed, the following matrix results: (b) To put matrix C into reduced echelon form, the first row operation used is____________. (c) A solution to the system A x = b is given by: x 1 =____, x 2 =____, x 3 =____, x 4 =____. (d) The reduced echelon form of B is: 2. Determine whether each of the following is in echelon form, reduced echelon form, both, or neither: = = = = 4 3 2 1 x x x x , 2 3 4 3 , 2 1 0 0 1 3 4 1 0 0 4 3 0 1 0 3 2 0 0 1 B , 1 0 0 1 4 1 0 0 3 0 1 0 2 0 0 1 A x b = 1 - 1 - 0 0 0 3 4 1 0 0 4 3 0 1 0 3 2 0 0 1 C 3 1 - 0 0 0 1 - 1 0 5 2 1 - 1 _______(c) , 14 1 0 0 5 7 - 1 0 5 2 0 1 _______(b) , 1 3

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MATH3305 Practice Exam 1 - Name Linear Algebra Practice...

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