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Prove that the set of all 2 × 2 matrices with entries from

Chapter 2, Problem 19E

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QUESTION:

Prove that the set of all 2 × 2 matrices with entries from R and determinant 11 is a group under matrix multiplication.

Questions & Answers

QUESTION:

Prove that the set of all 2 × 2 matrices with entries from R and determinant 11 is a group under matrix multiplication.

ANSWER:

Step 1 of 4

Consider that the determinant for any set  is given by,

                                                           

So, e define a set  such that,

                                                           

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