MATH 307 Lecture 2: Lecture 2Jan 8, 2020
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A system with two linear equations and two unknowns. So if allan anais e then we have 2 subcases if anbz ambi 0 and. Otherwise no solution if ali azz a21 am to unique solution. A det a deta to 1 this system has a uniquesolution. Using a i can be generalized to any nxn square invertible matrix t w un requirements to use a. Q how to solve ax b with rectangular matrix a or non invertible a. Recallthat in square matrix a it"s easy to solve ax b when. The rref plays a similar role for a general mxn matrix a. I o f l x t o xl 15 113 1. O xi 11 xz x3 solvefor pivot variables. Any matrix can be reduced to its rref bygaussian elimination. Apply gaussian elimination to the augmented matrix to get its rref get.
