Division of complex number, Mathematics

Division of complex number

Now, we gave this formula a long with the comment that it will be convenient while it came to dividing complex numbers so let's look at a couple of examples.

Example Write down each of the following in standard form.

                               (3 - i)/(2+ 7i)

Solution

thus, in each case we are actually looking at the division of two complex numbers. However The main idea here is that we desire to write them in standard form.  Standard form does not let for any i's to be in the denominator.  Thus, we have to get the i's out of the denominator.

Actually this is fairly simple if we remember that a complex number times its conjugate is a real number.  Thus, if we multiply the numerator & denominator by the conjugate of the denominator we will be capable to eliminate the i from the denominator.

(3 - i)/(2+ 7i) =(3 - i )( 2 - 7i)/ (2+ 7i) ( 2 - 7i) = 6 - 23i+ 7i2 /22 +72

= -1 - 23i/53 = (1/53)-(23/53)i

Note that to put the answer into standard form we broke up the fraction into the real & imaginary parts.

Posted Date: 4/6/2013 3:23:43 AM | Location : United States







Related Discussions:- Division of complex number, Assignment Help, Ask Question on Division of complex number, Get Answer, Expert's Help, Division of complex number Discussions

Write discussion on Division of complex number
Your posts are moderated
Related Questions
to use newspaperto study and report on shares and dividend

Establish appropriate algebraic models for each of the following sets of data. You can use technology to assist. Plot them on grids and demonstrate how you have established each mo

howto know whether a region is bounded or not

what is the answer of 6_5x9_4x3(1_2)

My thousandths digit is twice the tenths digit. My tenths digit is one less than the hundredths digit. If my number is 5, what my number?

I need help with pre algebra in 5th grade intermidate school math until Tuesday afternoon please

Inverse Cosine : Now see at inverse cosine.  Following is the definition for the inverse cosine.                         y = cos -1 x       ⇔ cos y = x                   for

???? ????? ??????? ?? ????? ??? ?? ????? ??????? ??????

Determine if the three vectors a → = (1, 4, -7), b → = (2, -1, 4) and c → = (0, -9, 18) lie in similar plane or not. Solution Thus, as we noted prior to this example al

The  ratio of the sum of first n terms of two AP's  is 7n+1:4n+27.  Find the ratio of their 11th  terms . Ans:    Let a 1 , a 2 ... and d 1 , d 2 be the I terms are Cd's of t