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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...

y = 4x^3 + 7 x

Recall: to differentiate any function of the form y = x^n

dy/dx = y' = n x^(n-1)

Hence if y = 4x^3 + 7x

dy/dx = 4 ( 3x^3 -1) + 7x^...

Given, 8x - 8 = 2x + 10

Solution: To solve this kind of problem, the first step is to always collect the like terms together i.e. Take the terms with x to one side of the equal sign and t...

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...