Top answers

Further Mathematics
A Level

Prove e^(ix) = cos (x) + isin(x)

We first write each side of the equation using the maclaurin series for each function.

eix = 1 + ix + (ix)2/2! + (ix)3/3! + (ix)4/4! + ......

PM
7650 Views

What does it mean if two matrices are said to be commutative?

Two matrices are commutative is matrix A multiplied by matrix B equals matrix B multiplied by matrix A.

JM
5990 Views

How do you find the square roots of a complex number?

Every complex number has complex square roots. However since we don't know how to deal with expressions such as √i we need to follow a specific method to find the square roots of a complex number.<...

JG
68216 Views

Are we able to represent linear matrix transformations with complex numbers?

Absolutely. Consider a point (a,b). This may be represented by the complex number a+bi and also by the column vector (a;b), where the semicolon means 'new line'.
To translate the point by +(c,d), in ...

JO
3787 Views

How do you plot a complex number in an Argand diagram?

Argand diagrams are, like graphs, a visual representation. Instead of representing an equation though, Argand diagrams represent numbers.
Any number can be represented on an Argand diagram, be it...

PW
22894 Views

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