We go over how to find the pivot positions, pivots, pivot rows, and pivot columns of a matrix by considering its row echelon or reduced row echelon forms. #linearalgebra
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The pivot positions of a matrix are the positions of the leading 1s when it is written in row echelon or reduced row echelon form. The entries of the matrix that are in these position are the pivots of the matrix. The rows containing the pivot positions are the pivot rows and the columns containing the pivot positions are the pivot columns.
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