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Let H be the subset of GL(2, R) consisting of the identity matrix together with all invertible 2 × 2 es (a ) such that ab < 0. Is H a subgroup of GL(2, R)? Justify your answer.

Let H be the subset of GL(2, R) consisting of the identity matrix together with all invertible 2 × 2 es (a ) such that ab < 0. Is H a subgroup of GL(2, R)? Justify your answer.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.5: Applications
Problem 30EQ
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Let H be the subset of GL(2, R) consisting of the identity matrix together with all invertible 2 x 2 ´a _0 es :( ) such that ab < 0. Is H a subgroup of GL(2, R)? Justify your answer.
Transcribed Image Text:Let H be the subset of GL(2, R) consisting of the identity matrix together with all invertible 2 x 2 ´a _0 es :( ) such that ab < 0. Is H a subgroup of GL(2, R)? Justify your answer.
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