Elementary Linear Algebra - Area
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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
This problem is a special case of a more general result about Markov
which is equivalent to the stated
Then the homogeneous system BX = 0 has a non–trivial solution X 0, as the number of unknowns is greater than the number of equations. Consequently AB is
The interior diagonal P2P4 then gives two triangles P1P2P4 and P2P3P4 and we can proceed similarly as
