ECOR 1010 Lecture 16: Lectures 16 17 18 Summary of Linear Systems and Matlab Page 1

• School: Carleton University
• Department: Engineering Common Core Courses
• Course: ECOR 1010
• Professor: Glen Mc Rae

Document Summary

Linear systems are a set of m linear equations in the independent variables x. They provide methods for structures data representation, management and analysis and provides clear, logical, algebraic methods for solving engineering related problems a11x1 + a22x2 = b2 where a and b are constants usually. Ax = b where a is a matrix of coefficients (m x n -rows, columns) where the unknowns x are found and satisfy matrix. Dimensions of b are equal to outer dimensions of a and x. Single unique solution: two lines meet a point if they are not parallel. Infinitely many solutions: two planes meet in a line, if the planes are not parallel. No solution: two planes, or two lines, never meet if they are parallel. When there are independent equations (can"t be created from other ones): If finite solution exists, there are infinite solutions: a finite solution may exist, may or may not be unique.