![]() If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the To obtain a matrix in row-echelon form for finding solutions, we use Gaussian elimination, a method that uses row operations to obtain a 1 as the first entry so that row 1 can be used to convert the remaining rows. With these operations, there are some key moves that will quickly achieve the goal of writing a matrix in row-echelon form. (Notation: R i + c R j ) R i + c R j )Įach of the row operations corresponds to the operations we have already learned to solve systems of equations in three variables. Add the product of a row multiplied by a constant to another row.To solve a system of equations we can perform the following row operations to convert the coefficient matrix to row-echelon form and do back-substitution to find the solution. Any column containing a leading 1 has zeros in all other positions in the column. ![]()
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