8.10 Orthogonal Matrices
INTRODUCTION
In this section we are going to use some elementary properties of complex numbers. Suppose z = a + ib denotes a complex number, where a and b are real and the symbol i is defined by i2 = −1. If 
= a − ib is the conjugate of z, then the equality z = or a + ib = a − ib implies that b = 0. In other words, if z = , then z is a real number. In addition, it is easily verified that the product of a complex number ...
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