Matrix Reduction Definitions (1) 1. Zero Row: A row consisting entirely of zeros 2. Nonzero Row: A row having at least one nonzero entry 3. Leading Entry of a row: The first nonzero entry of a row.
Matrix Reduction Definitions (2) Reduced Matrix : A matrix satisfying the following: 1. All zero rows are at the bottom of the matrix 2. The leading entry of a row is 1 3. All other entries in the column in which the leading entry is located are zeros. 4. A leading entry in a row is to the right of a leading entry in any row above it.