Reduced Row Echelon Form (Matrix Conditions and Examples)

In order for a matrix to be in Reduced Row Echelon Form, it has to satisfy the four following conditions:

1. All rows that contain only zeroes must be at the bottom of the matrix.
2. The leftmost non-zero entry in any row (called the pivot) must be to the right of any pivot/non-zero leading entry in the rows above it.
3. All pivots are equal to 1
4. All elements of a pivot column are zero except for the element at the pivot position

0:00 Reduced Row Echelon Form conditions
0:26 Three examples that are at least in Row Echelon Form
1:00 Matrix example where pivots are not all equal to 1
1:30 Matrix example where the pivot columns are not in proper form
2:30 Matrix example that is in Reduced Row Echelon Form
3:12 Two matrix examples to be classified by the viewer
3:23 Classification of the two examples assuming viewer paused video in last chapter

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#linearalgebra
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[JoeCMath]

Valuable Stops:
0:26 The four conditions for a matrix to be in Reduced Row Echelon Form
3:11 The classification of three examples into Row Echelon Form and Reduced Row Echelon Form
4:40 The classification of two examples into Row Echelon Form and Reduced Row Echelon Form