# What is a zero matrix? Definition and examples

What is a zero matrix? A zero matrix, also called null matrix, is a matrix where all elements of the matrix are equal to 0.

$$
O = [O_{m × n}] = \begin{bmatrix}
0 & 0 & 0 & . . . & 0\\
0 & 0 & 0 & . . . & 0\\
0 & 0 & 0 & . . . & 0\\
. & . & . & & .\\
. & . & . & & .\\
. & . & . & & .\\
0 & 0 & 0 & . . . & 0\\
\end{bmatrix}
$$

## Here are a few more examples of zero matrices

$$
O = [O_{2 × 2}] = \begin{bmatrix}
0 & 0\\
0 & 0\\
\end{bmatrix}
$$

$$
O = [O_{3 × 3}] = \begin{bmatrix}
0 & 0 & 0\\
0 & 0 & 0\\
0 & 0 & 0\\
\end{bmatrix}
$$

$$
O = [O_{3 × 2}] = \begin{bmatrix}
0 & 0\\
0 & 0\\
0 & 0\\
\end{bmatrix}
$$

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