quiz_7.pdf - MATH 220 NAME QUIZ 7 STUDENT NUMBER FALL 2019 INSTRUCTOR VERSION A SECTION NUMBER THIS QUIZ IS DUE BY THE END OF CLASS TUESDAY 10/15 THE

quiz_7.pdf - MATH 220 NAME QUIZ 7 STUDENT NUMBER FALL 2019...

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MATH 220 NAME: QUIZ 7 STUDENT NUMBER: FALL 2019 INSTRUCTOR: VERSION A SECTION NUMBER: THIS QUIZ IS DUE BY THE END OF CLASS TUESDAY 10/15 THE USE OF A CALCULATOR, CELL PHONE, OR ANY OTHER ELECTRONIC DEVICE OR NOTES ARE NOT PERMITTED ON THIS QUIZ. MAKE SURE TO ANSWER ALL PARTS OF EACH QUESTION CLEARLY AND SHOW YOUR WORK.
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1. Find the first column of the inverse of the following matrix (4pts). 2 3 0 4 9 0 6 6 5 2. Determine if the following matrices are invertible (4pts). a. 1 2 - 2 - 2 3 4 5 5 - 10 b. 3 7 8 0 9 2 0 0 3 c. 2 4 3 5 - 3 7 0 0 0 d. - 4 0 0 0 - 3 0 0 0 2 Page 2
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3. Determine whether the following statements are True or False (5pts). No justification is
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Unformatted text preview: needed. All matrices in this problem have size n × n . a. If A has linearly independent columns then the columns of A span R n . b. If EF = FE for matrices E and F , then F and E are invertible. c. If B x = has a non-trivial solution, then B is invertible. d. If C and D are row equivalent, then they are invertible. e. If G T is invertible then G has n pivot positions. 4. Let T : R n → R n be a linear transformation which is not onto. Is T one to one? Is T invertible? Page 3...
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  • Fall '06
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