Any matrix that’s full of only zeros, regardless of the dimensions of the matrix, we call a zero matrix. We always name the zero matrix with a capital .

Multiplying a matrix by scalar results in a zero matrix.

Adding or subtracting the zero matrix to any other matrix doesn’t change the matrix’s value.

Adding opposite matrices always results in the zero matrix. Matrices and are opposite matrices. To get the oppposite of a matrix, multiply it by a scalar of : .