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for two numbers: a + bi and c + di in rectangular format: (a + bi)/(c + di) can be calculated as follows:
Multiply numerator and denominator by complex conjugate of the denominator: ( c - di).
This gives (ac - bd + bci - bdi) / (c2 + d2). Now the denominator is a real number.
If you have them in polar form: Magnitude<Angle. Then divide the magnitudes and subtract the angles.
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If you divide 4 by the square root of -7 and then times that by the square root of sin30 how many swag points will you gain?
I am not sure what you want to calculate; anyway, the square root of a negative number is a complex number: in this case, "i" multiplied by the square root of 7. The remaining calculations will also result in complex numbers. When you calculate points, you usually want a real number, not a complex number.
Which arithmetic operation requires the use of complex conjugate?
It can be used as a convenient shortcut to calculate the absolute value of the square of a complex number. Just multiply the number by its complex conjugate.I believe it has other uses as well.
How do you calculate complex number using matrix?
A complex number a + bi, can be represented as a 2x2 matrix: [a -b] [b a ] or [a b ] [-b a ] , just keep the same notation throughout your work. See the wikipedia article on Complex Numbers, and the related link for some more information.
How to solve synthetic division with complex numbers?
I'm not sure about how to use complex numbers to do this, but I've posted a link to a pretty neat website about Synthetic Division.
A number is divisible by another number when the after division by the number is 0?
... when the remainder after division ...
Do answers to complex number division need to be in standard form?
Not necessarily.
If you divide 4 by the square root of -7 and then times that by the square root of sin30 how many swag points will you gain?
I am not sure what you want to calculate; anyway, the square root of a negative number is a complex number: in this case, "i" multiplied by the square root of 7. The remaining calculations will also result in complex numbers. When you calculate points, you usually want a real number, not a complex number.
Which arithmetic operation requires the use of complex conjugate?
It can be used as a convenient shortcut to calculate the absolute value of the square of a complex number. Just multiply the number by its complex conjugate.I believe it has other uses as well.
How do you do order of operations in math?
In arithmetic's, it is good to calculate complex sums using the BODMAS order. Work on the items in Brackets and then proceed to do Of, Division, Multiplication and any Subtraction tasks.
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How do you calculate complex number using matrix?
A complex number a + bi, can be represented as a 2x2 matrix: [a -b] [b a ] or [a b ] [-b a ] , just keep the same notation throughout your work. See the wikipedia article on Complex Numbers, and the related link for some more information.
How to solve synthetic division with complex numbers?
I'm not sure about how to use complex numbers to do this, but I've posted a link to a pretty neat website about Synthetic Division.
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... when the remainder after division ...
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