Unformatted text preview: entries), and let G denote the set of all 2 × 2 real matrices A with AA = I . Prove that G is a group with respect to matrix multiplication. You may assume that matrix multiplication is associative, and also the wellknown property that ( AB ) = B A for all 2 × 2 matrices A , B . (3 points) 4. Page 40, Problem 6.2. (2 points) (4 problems, 10 points altogether)...
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 Fall '08
 PARRY
 Math, Algebra, Multiplication, Matrices, Ring

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