MAT 22A Lecture Notes - Lecture 27: Mexican Peso, Sodium Hydride, Row Echelon Form
27 Nov 2018
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How to find the null space of any mxn matrix. A and express it in terms of special sins. If a is invertible exactly one so i n. Faff an is trivial nxn matrix a is invertible then. We will learn to find all solutions to the system. This method builds on the method we learned to solve. Form augmented matrix ea i 5 ] I a it ] to now echelon form or reduced row echelon form . Use back substitution to so he for the pivot variables in terms of the free variables. Ip is a constant vector called the particular solution and. In is a variable vector that is the general solar of the system. In can itself be written as an arbitrary. In comb of special so 1ns as we"ve done before. In the special case where a is invertible , then x-p = a. 3 y -2w it it:s . it :#i.
