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In linear algebra, a matrix unit is a matrix with only one nonzero entry with value 1. The matrix unit with a 1 in the ith row and jth column is denoted as E i j {\displaystyle E_{ij}}. For example, the 3 by 3 matrix unit with i = 1 and j = 2 is
A single-entry matrix generalizes the matrix unit for matrices with only one nonzero entry of any value, not necessarily of value 1.
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