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We first write each side of the equation using the maclaurin series for each function. e ix = 1 + ix + (ix) 2 /2! + (ix) 3 /3! + (ix) 4 /4! + ...... e ix = 1 + ix - x 2 /2! - ix 3 /3! + x 4 /4! + ..... cos(x...

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

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. Let's cons...

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 complex ...

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 real, imagi...