MTH 341 Lecture Notes - Lecture 3: Row Echelon Form, Elementary Matrix, Solution Set
15 Apr 2019
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Directions: discuss and solve the following problems in your groups. If they are equivalent, show via elementary row operations that they are equivalent. 0 (3) do you think the two matrices in problem 2 are equal? (note: equal and equivalent have very di erent meanings for matrices. X + y + z = 0. Page 2 of 3 (8) what are your basic solution(s) for problem 7? (9) find the nontrivial solutions for the following homogeneous system of equations. The following questions may assist you as you try to accomplish the given task: Are there more unknowns than equations? (since this is a homogeneous system what does this answer to the question above tell us?) The de nition from our book of a linear combination of column vectors is found on page 30. Below is an equivalent de nition that we can also use. Then ~u is said to be a linear combination of the vectors {~v1, .
