Modulus of a complex number.

Prove that tex2html_wrap_inline11 .

This is equivalent to tex2html_wrap_inline13 which is

displaymath15

So we just need to show that tex2html_wrap_inline17 . But if z= a + ib for real numbers a and b then tex2html_wrap_inline25 and tex2html_wrap_inline27 . We could, of course, have verified the identity directly and suggest that the reader do this.

[Algebra] [Complex Variables]
[Geometry] [Trigonometry ]
[Calculus] [Differential Equations] [Matrix Algebra]

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Author: Michael O'Neill

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