CHE 311 Lecture Notes - Lecture 20: Minuscule 22, Adjoint, Linear Combination

• School: UIC
• Department: Chemical Engineering
• Course: CHE 311
• Professor: Wedgewood Lewis

Document Summary

D n n a a ij ij a a ij ij. System of linear simultaneous algebraic equations: a x. 2 2 n a x nn n b n. We have n equations and n unknown 1. We can write n equations in a compact form, 2, x x x a n ij are the known coefficients. n. 1 i a a ij ij b i. Let"s multiply above equations with an alien cofactor ika , n. 2017 meenesh r. singh (mrsingh@uic. edu) a x. The numerator is a determinant when a thk column has been replaced by vector "b . a. Consider a set of linear algebraic equations. n a. 2 2 m a x mn n b m m n= and m n< (underspecified system), assume ( m equations. 0d , there exist a unique solution. determine m unknown from n m : if m n> (over-specified system), there exists no unique solutions. unknowns, and uniquely.