Zero matrix

In mathematics, particularly linear algebra, a zero matrix or null matrix is a matrix with all its entries being zero. Some examples of zero matrices are

The set of m×n matrices with entries in a ring K forms a ring ${\displaystyle K_{m,n}\,}$. The zero matrix ${\displaystyle 0_{K_{m,n}}\,}$ in ${\displaystyle K_{m,n}\,}$ is the matrix with all entries equal to ${\displaystyle 0_{K}\,}$, where ${\displaystyle 0_{K}\,}$ is the additive identity in K.

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