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A **zero matrix** is a matrix with all its entries being zero. An example of a zero matrix is

$M={\begin{bmatrix}0&0&0\\0&0&0\\0&0&0\end{bmatrix}}$

A **zero vector** also called a **null vector** is a vector with all its entries being zero. An example of a zero vector is

${\vec {v}}=(0,0,0,0)$