MATH 1B03 Lecture Notes - Lecture 2: Gaussian Elimination, Augmented Matrix, List Of Forgotten Realms Nations
4 Dec 2014
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Document Summary
For the linear system a11x1 + a12x2+ . +amnxn = bm the augmented matrix is a12 a11 a22 a21 am1 am2 b1 b2 a1n a2n amn bm. To solve a linear system one performs a series of algebraic operations: Add a constant multiple of one equation to another. The main fact is that doing these operations doesn"t change the set of solutions of the linear system. The corresponding elementary row operations on an augmented matrix are: Add a constant multiple of one row to another. A matrix is in row echelon form if. If a row isn"t entirely zeroes then the left most non-zero entry is a 1; we call this 1 the row"s leading 1. 2 all zero rows are grouped contiguously at the bottom of the. In any two consecutive rows which are both non-zero, the leading 1 of the upper row is to the left of the leading 1 of the lower row.
