guerra_exam1

# guerra_exam1 - First Midterm February 19, 2009 NAME (Please...

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First Midterm February 19, 2009 NAME (Please print) Question Score 1 2 3 4 5 Total (Max Possible: 100) Instructions: 1. All questions are worth 20 points. 2. No calculators, computers, notes, books are permitted. 3. Do all computations on the examination paper. You may use the backs of the pages if necessary. Make your work readable. 4. Put answers inside the boxes (when applicable). 5. Please signify your adherence to the honor code: I, , have neither given nor received aid in completion of this examination. 1

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QUESTION 1 Score Under what condition on the constants a and b the is vector: a 1 b in the linear span of the vectors: 2 1 7 - 1 2 4 3 1 9 . 2
QUESTION 2 Score Compute the determinant and the inverse matrix of: A = 2 0 1 1 0 1 1 1 1 A - 1 = det ( A )= 3

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QUESTION 3 Score Find a basis for the column space, the row space and the null space of A : A = 1 - 3 0 - 5 - 1 4 1 7 2 1 7 4 2 - 2 4 - 2 4
QUESTION 3 Basis for the row space: Basis for the column space: Basis for the null space: 5

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## This note was uploaded on 08/03/2009 for the course MATH 107 taught by Professor Trangenstein during the Spring '07 term at Duke.

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guerra_exam1 - First Midterm February 19, 2009 NAME (Please...

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