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quiz2_F06

# quiz2_F06 - MATH 202 QUIZ#2 Due Friday Dec 1 3 PM Covers...

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MATH 202, QUIZ #2 Due Friday, Dec 1, 3 PM Covers Chapters 5-6 and sections 7.1-7.3 of textbook Time: one hour Your name (print): . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Your instructor : . . . . . . . . . . . . . . . . . . . Time your class meets : . . . . . . Please show all work and justify all your answers. Books, notes and calculators are not permitted on this quiz. Write below and sign the Pledge: I pledge my honor that I have not violated the Honor Code during this examination.

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1. (20 points) Let A be a 5 × 5 matrix such that det ( A ) = 3. Find: (a) ( 4 points ) det (2 A ) (b) ( 4 points ) det ( - A ) (c) ( 4 points ) det ( A 3 ) (d) ( 4 points ) det ( A T ) (e) ( 4 points ) det ( B ), where B is a matrix obtained from A by performing the following sequence of operations: 1. add 4 times 1st row to 3rd row, 2. interchange row 1 and 3, 3. multiply 2nd column by 5.
2. (20 points) (a)( 10 points ) Find the 3-dimensional volume of the parallelepiped determined by the three vectors v 1 = 1 1 1 1 , v 2 = 1 - 1 0 2 , v 3 = 1 0 - 1 - 1 .

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