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7 Identifying second degree equations 129 7.1 The eigenvalue
EXAMPLE 2.2.3 Our last example of a geometrical linear transformation arises from projecting the plane onto a line l through the origin, inclined at angle θ to the positive x
If A is upper triangular, equation 4.1 remains true and the proof is again an exercise in induction, with the slight difference that the column version of theorem 4.0.1 is
(i) Prove that each of the following sets in the complex plane rep- resents a circular arc and sketch the circular arcs on the
The discussion is more complicated for matrices of size greater than two and is best left to a second course in linear algebra. Nevertheless the following result is a
Matrix theory has many applications to science, mathematics, economics and engineering1. Its bibliography is also useful as a source of
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