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Figure 9.2.4
EXAMPLE 3 Transformations Using Elementary Matrices
Show that if is multiplication by an elementary matrix, then the transformation is one of the following:
(a) a shear along a coordinate axis
(b) a reflection about
(c) a compression along a coordinate axis
(d) an expansion along a coordinate axis
(e) a reflection about a coordinate axis
(f) a compression or expansion along a coordinate axis followed by a reflection about a coordinate axis.
Solution
