The three types of elementary matrices give rise to fivetypes of 2 2 matrices with one

Chapter 3, Problem 3.6.19

(choose chapter or problem)

The three types of elementary matrices give rise to fivetypes of 2 2 matrices with one of the following forms:Each of these elementary matrices corresponds to a lineartransformation from 2 to 2. Draw pictures to illustratethe effect of each one on the unit square with vertices at(0, 0), (1, 0), (0, 1), and (1, 1).c

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