11. Prove that the set of all 2 × 2 matrices with entries from R and de-terminant +1 is a group under matrix multiplication.

To show that the set of all 2×2 matrices with entries from R and determinant +1 is a group under…

Answered: 11. Prove that the set of all 2 × 2…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers

Problem 19E

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11. Prove that the set of all 2 × 2 matrices with entries from R and de- terminant +1 is a group under matrix multiplication.