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Let GL 2 (R) be the set of all 2 2 real matrices with nonzero determinant. Show that it is a group. Show that the

Let GL2(R) be the set of all 2 2 real matrices with nonzero determinant.

  1. Show that it is a group.
  2. Show that the subset consisting of matrices of determinant 1 is a subgroup of GL2(R)

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