Manuals/calci/IMPRODUCT

IMPRODUCT(z1,z2,z3)

• $z1,z2,z3$ are the complex numbers of the form $a+ib$

Description

• This function gives the product of the complex numbers.
• In IMPRODUCT(z1,z2,z3,…),Where z1,z2,z3,... are the complex numbers is in the form of "a+ib".
• where a&b are the real numbers.'i' imaginary unit .Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=sqrt(-1)} .
• The multiplication of two complex numbers is a complex number.
• Let z1=a+ib and z2=c+id.
• Then the product of two complex number is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i} .
• In this function z1 is required.z2,z3,..., are optional.
• We can use COMPLEX function to convert real and imaginary number in to a complex number.

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

See Also

• IMREAL
• IMSUM
• IMAGINARY
• COMPLEX

References

Binary Logarithm