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.
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
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
• KAGANKURSUNGOZ

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