what do you mean by cananical form
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In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical expression. Often, it is one which provides the simplest representation of an object and which allows it to be identified in a unique way.
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More generally, for a class of objects on which an equivalence relation is defined, a canonical form consists in the choice of a specific object in each class. ... The row echelon form is a canonical form, when one considers as equivalent a matrix and its left product by an invertible matrix.
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