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## Zero Matrix

To initialize some algorithm, sometimes you need to prepare a matrix of a known size containing all zero elements. Such matrix that all its elements equal to zero is called matrix zero, or null matrix .

Null matrix is fully determined by its size.

Example:

This simple interactive program below will produce null matrix at different size. This program is designed to confirm your basic understanding about zero matrix or null matrix.

Max Row = Max Column =

## Properties

Some well known properties of null matrix are

• Multiplication of any matrix with null matrix will produce null matrix,
• Addition of any matrix with null matrix (of the same size) produces the matrix itself, thus zero matrix serves as an additive identity ,
• Subtraction of a matrix from a null matrix produces the negative of that matrix,
• Subtraction of a matrix by a null matrix produces the matrix itself,

See also : matrix addition , matrix subtraction

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