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Show that the center of GL(2,R) is the set of all scalar matrices aI with a different from zero.

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October 6th, 2022

Problem 1: Show that the center of GL(2,R) is the set of all scalar matrices aI with a different from zero.

Problem 2: Prove that no pair of the following groups of order 8,
I8; I4 x I2; I2 x I2; D8; Q, are isomorphic.

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