Complex Numbers and Complex Algebra: Modulus of a Complex Number
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Properties:
4. If $z = x+iy$, MATH.
5. If $z = x+iy$, MATH and MATH.
6. MATH.
7. MATH (Triangle Inequality).
8. MATH.
9. MATH.
10. MATH.
11. MATH provided $z_{2} \neq 0$.
12. If $n$ is an integer, MATH.
13. Lagrange's Identity: If MATH and MATH are two sets of $n$ complex numbers ( $n \ge 1$), then MATH

   
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