Let be the orthogonal group of (2 x 2)-matrices over , and let be the subset...

Question

Question

Let 02(R) be the orthogonal group of (2 x 2)-matrices over $\mathbb{R}$ , and let A (R) = {(8) E O2R): a, b E R be the subset of 02(R) .

a) Show that (a(R),.) is a subgroup of 02(R) .

b) Show that (R):ܠ is a normal subgroup of 02(R)

**abstract algebra

Answer 1

Answer #1

Answer 2

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