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Difference between Normal Form and Echelon Form

Difference between Normal Form and Echelon Form

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Instructions and help about what is the difference beteween echelon form and reduce echlen form

In this video, we're going to review the machinery of row reduction and how we turn a general matrix into a matrix in row-echelon form, which is good, and reduced row-echelon form, which is best. So the rules of the game are that if somebody gives you a matrix, a row operation is something that you do where you can rescale a row, that is multiply a row by any non-zero constant, or you can add a multiple of one row to another row or you can swap two rows. These are called row operations. The goal is that somebody gives you a matrix, you want to apply a bunch of row operations until the matrix either becomes in row-echelon form or reduced row-echelon form. What row-echelon form means is that some of the rows might be nothing but 0's. If you have a row that is nothing but 0's, it has to be at the very bottom of the matrix. Every other row has a first non-zero entry. The first non-zero entry is called a pivot. This is a pivot, this is a pivot, this is a pivot, this is a pivot. It's the

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