MAT 1302 Study Guide - Midterm Guide: Free Variables And Bound Variables, Global Positioning System, Ex-Gay Movement

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1302
• Professor: Hadi Salmasian

Document Summary

Midterm #1: (2 points) let"s draw this system. It is not possible to have exactly 317 solutions in a system. You can either have no solutions, a unique solution (1 solution) or infinite solutions. The system could have a zombie row, and therefore have no solutions, as shown below. Since there are more variables than equations, the system will have infinitely many solutions when it is consistent. The system can be either consistent or inconsistent. Answer: c and e: (4 points) more gauss elimination, but there"s variables . This happens if works in both equations): (4 points) gauss! However, the location of the parameter is in the 3rd column (where the boxes are), and the location of the desired vector is in the 4th column (the one that we were checking look at the original matrix). This indicates that the third vector is linearly dependent, not the desired vector.