MAT 1302 Lecture Notes - Lecture 4: Row And Column Vectors, Free Variables And Bound Variables, Arthur Cayley

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

Document Summary

Families of sle, vectors, vector operations, linear combinations. Part 1: families of systems of linear equations. Sometimes, we don"t know some of the coe cients in a sle x y = 5. If we don"t the value of h and want to nd it, this is not a sle. But for each xed value of h we get a sle, a di erent one every time. We want to consider them togerther, we speak about a family of systems of linear equations. Determine the values of h such that the system with augmented matrix x y = 5. The last row of the matrix does not mean that we have an equation h 2 = 17. We have an equation (h 2)y = 17. The fact that h 2 = 17 or h 2 6= 17 does not determine the consistency of the system. The consistency is determined by the location of pivot columns in ef.