A zero matrix is a matrix with all its entries being zero. An example of a zero matrix is
M = [ 0 0 0 0 0 0 0 0 0 ] {\displaystyle 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
v → = ( 0 , 0 , 0 , 0 ) {\displaystyle {\vec {v}}=(0,0,0,0)}