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mt1 key - Midterm 1 Place all books s tudent ID n umber...

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Midterm 1 Math 20F Lin Winter 2010 Place all books, calculators, and papers under your desk , On the cover of your blue book write your name , student ID number, section time, and color of your exam, You ma y have a 3 x 5" card of handwritten notes, In a column number one to five on the front of your blue book , Show all your work, and box your answers, You must give Correct reasons for each answer to obtain full credit. (a) 10 pts, Find A-I (b) 5 pt s, Write b as a linear comb ination of the columns of A. (Your answer should only involve number s,) 2, (a) 6 pts, Find the matrix of the linear transformation T : 1R2 -+ 1R2 that first reflects points through the vertical X2 axis and then rotates points counterclockwise ¥ radians, (b) 3 pts, Is T one to one? -1 4 4. (a) 8 pts, Express C) as two different linear com binations of (~3) , (:8) , (-;3) , _ T . (1 2) _ (0 1) _ (-1 (b) 3 pts , Co mpute BA - C If A - 3 4 . B- 1 0 ' C - 0 5, The following statements are either true or false. If the statement is true , prove it. If it is false give a counte re xampl e, (a) 4 pts. A matrix
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