A zero matrix is an matrix consisting of all 0s (MacDuffee 1943, p. 27), denoted . Zero matrices are sometimes also known as null matrices (Akivis and Goldberg 1972, p. 71).
A zero matrix is the additive identity of the additive group of matrices. The matrix exponential of is given by the identity matrix . An zero matrix can be generated in the Wolfram Language as ConstantArray[0, m, n].