zero matrix
a matrix whose entries are all zeros
A zero matrix is a matrix in which all of the elements are zero. In other words, every entry of the matrix has a value of zero. This type of matrix is also known as the null matrix or the all-zero matrix.
For example, the 2×3 zero matrix is shown below:
[ 0 0 0 ]
[ 0 0 0 ]
The zero matrix is denoted by the symbol O, and the dimensions of the matrix are usually specified as m x n, where m represents the number of rows and n represents the number of columns.
Zero matrices play an important role in linear algebra, especially when dealing with properties of matrix multiplication and invertibility. They are also useful in solving systems of linear equations and in finding eigenvalues and eigenvectors of a matrix.
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