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Show that these two matrices generate the algebra M₂(Q) over the field Q. 0 1 S := and T = == -1 - -1 (13)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 40E

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Question

Show that these two matrices generate the algebra M₂(Q) over the field Q.
0
1
S :=
and T =
==
-1
-
-1
(13)

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