![]() Here, the row vector F9:I9 summarizes these permutations. Similarly, the one in the second column of P occurs in the fourth row, which indicates that the second row of A becomes the fourth row of PA, etc. The one in the first column of P is in the second row, which indicates that the first row in A will become the second row in PA. The permutation matrix can be interpreted as follows. ![]() ![]() This type of matrix captures the row permutations that are used in Gaussian elimination (see Systems of Linear Equations)Įxample 1: The permutation matrix P in F4:I7 of Figure 1 transforms the square matrix A in range A4:D7 to the PA matrix in K4:N7 via the formula =MMULT(F4:I7,A4:D7). A permutation matrix is a square matrix that has exactly one non-zero element in each row and each column, and the only permissible nonzero element is a one. ![]()
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