Difference between revisions of "Manuals/calci/IMPRODUCT"
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*This function gives the product of the complex numbers. | *This function gives the product of the complex numbers. | ||
*In IMPRODUCT(z1,z2,z3,…), where z1,z2,z3,... are the complex numbers and is in the form of <math>a+ib</math>. | *In IMPRODUCT(z1,z2,z3,…), where z1,z2,z3,... are the complex numbers and is in the form of <math>a+ib</math>. | ||
| − | *where <math>a</math> & <math>b</math> are the real numbers.<math>i</math>is the imaginary unit .<math>i=\sqrt | + | *where <math>a</math> & <math>b</math> are the real numbers.<math>i</math>is the imaginary unit .<math>i=\sqrt{-1}</math>. |
*The multiplication of two complex numbers is a complex number. | *The multiplication of two complex numbers is a complex number. | ||
*Let <math>z1=a+ib</math> and <math>z2=c+id</math>. | *Let <math>z1=a+ib</math> and <math>z2=c+id</math>. | ||
Revision as of 23:40, 18 December 2013
IMPRODUCT(z1,z2,z3)
- are the complex numbers of the form
are the complex numbers of the form 
Description
- This function gives the product of the complex numbers.
- In IMPRODUCT(z1,z2,z3,…), where z1,z2,z3,... are the complex numbers and is in the form of .
- where & are the real numbers.is the imaginary unit ..
- The multiplication of two complex numbers is a complex number.
- Let and .
- Then the product of two complex number is .
- In this function is required. are optional.
- We can use COMPLEX function to convert real and imaginary number in to a complex number.
& 
are the real numbers.
is the imaginary unit .
.
and 
.
.
is required. 
are optional.Examples
=IMPRODUCT("1+3i","5+2i") = -1+17i
=IMPRODUCT("i","3-i") = 1+3i
=IMPRODUCT("5","-2+4i") = -10+20i
=IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i
=IMPRODUCT("-6-2i","-1-i") = 4+8i