Multiplication

A mathematical operation

Matrix Multiplication

The art of multiplying matrices by matrices, vectors and numbers. Matrix multiplication is non-commutative as it essentially is the same as nesting mathematical functions.

The Identity Transformation

$$ \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} $$

It can also be represented functionally this way: $Id_{R^n}(x) = x, \forall x \in R^n$

Complex numbers

$z_i = a + ib, z_2 = c + id$

$z_1 + z_2 = (a + c) + i(b + d)$

$z_1 * z_2 = (ac - bd) + i(ad + bc)$