These are of three types:
Translations, where every
point is moved by a constant vector:
represents
a transformation by the vector
Rotations:
an
anticlockwise rotation about the origin by an angle
is
represented by the matrix
which
has the effect,
an
anticlockwise rotation about the origin by an angle
is
represented by the matrix
which
has the effect,
This
is illustrated below.
Reflections:
a
reflection in the line making and angle
with
the
axis.
a
reflection in the line making and angle
with
the
axis.
This is illustrated below.
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