ITM 107 Lecture Notes - Lecture 4: Elementary Matrix, Augmented Matrix, Coefficient Matrix

• School: Ryerson University
• Department: Information Technology Management
• Course: ITM 107
• Professor: Aziz Guergachi

Document Summary

Each row of the matrix gives the corresponding coefficients of an equation. In the first two matrices, the circled element must be changed to obtain a reduced form. Moving to column 4, the entry in row 3, column 4 is a 1: using row 3 gives. Lecture 4 matrices: the augmented matrix is now reduced; this matrix corresponds to the system. Non-square systems: finally, we consider systems with fewer equations than variables. Lecture 4 matrices: if the reduced augmented matrix contains a row of 0s in the coefficient matrix with a nonzero number in the augment, the system has no solution, otherwise, the system has infinitely many solutions. Example investment: a trust account manager has ,000 to be invested in three different accounts. 450,000 3z 0, or when z 150,000: thus, the amounts invested are, there are many possible investment plans. One example would be with z = ,000, x.