if every non diagonal element in matrix A is zero and every diagonal element is different than square matrix A
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A diagonal matrix is a square matrix in which all the elements other than the principal diagonal elements are zero.
Unit matrix and scalar matrix are special case of a diagonal matrix.
A diagonal matrix, in which all diagonal elements are equal to same scalar, is called a scalar matrix.
A diagonal matrix, in which all diagonal elements are equal to one, is called a unit matrix.
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