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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 ...

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...

Firstly, we note that z being a complex number can be expressed in the form z = a + bi. If we then take the complex conjugate of this expression, the real numbers remain the same (as they are their own...

Let me rephrase this question slightly:
 

"Find all the roots of the equation x^n - 1 = 0."

We know by the fundamental theorem of algebra that an nth degree ...

Say you have a differential equation of the form:
dy/dx + Py = Q , where P and Q are functions of x.
Remember that even if your equation doesn't initially look like this, you may be able to rea...