Zero

We give an entire page to the idea of Zero because it is more than:

  • a quantity for “nothing”
  • the integer between -1 and +1

When we start working with vectors we have Zero Vectors:

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

\begin{bmatrix}0 \\ 0 \\ 0\end{bmatrix}

When we start working with matrices we have a Zero Matrix.

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

All these things have in common that they are the unique element that be added to a value without changing the value, or:

a + 0 = a