Problem

The three types of elementary matrices give rise to five types of 2 × 2 matrices with on...

The three types of elementary matrices give rise to five types of 2 × 2 matrices with one of the following forms:

Each of these elementary matrices corresponds to a linear transformation from . Draw pictures to illustrate the effect of each one on the unit square with vertices at (0, 0), (1, 0), (0, 1), and (1, 1).

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Solutions For Problems in Chapter 3.6

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