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Exam2B1100 - M340L EXAM 2B 11:00 FALL 2010 Dr Schurle Your...

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M340L EXAM 2B 11:00 Your name: FALL, 2010 Dr. Schurle Your UTEID: Show all your work on these pages. THIS SHOULD ALWAYS INCLUDE AN INDI- CATION OF HOW YOU OBTAINED YOUR RESULTS! Be organized and neat. Your work should be your own; there should be no talking, reading notes, checking laptops, using cellphones, . . . . 1. (12 points) Suppose x is a variable scalar and A is the matrix 3 3 - x 4 7 2 0 0 4 - x 7 - x 0 0 0 7 3 2 - x 120 . (a) Compute and simplify the determinant of A . DO NOT USE A CALCULATOR, EVEN IF YOU COULD! (b) For what values of x is the above matrix A singular, that is, NOT invertible?
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YOUR SCORE: /100 2. (20 points) State whether each of the following statements is true (T) or false (F). If the given statement is false, then give a true statement as similar as possible to the given one. (a) A subspace is also a vector space. (b) In some cases, the linear dependence relations among the columns of a matrix can be affected by certain elementary row operations on the matrix.
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