Let H = set of a matrix [a b] such that a,d,b are in R, and ad does not equal.

[0 d]

0. Is H a normal subgroup of GL(2,R)? GL(2,R) is the set of 2X2 matrices with real entries and nonzero determinant .

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- Nov 9th 2008, 08:22 PMJuancd08Normal Subgroup.
Let H = set of a matrix [a b] such that a,d,b are in R, and ad does not equal.

[0 d]

0. Is H a normal subgroup of GL(2,R)? GL(2,R) is the set of 2X2 matrices with real entries and nonzero determinant .