Use Ihc properties det(AB) = det(A) • det(B) and det(In) = 1 for n X n matrices to show the following:
a. The n X n matrices with determinant 1 form a normal subgroup of GL(n, ℝ).
b. The n X n matrices with determinant ±1 form a normal subgroup of GL(n, ℝ).
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