ADMN 1000H Lecture Notes - Lecture 3: Linear Independence, Linear Combination

• School: Trent University
• Department: Business Administration
• Course: ADMN 1000H
• Professor: Maher Galayini

Document Summary

Is it possible to find a smaller (or even smallest) set, for example, To answer this question, we need to introduce the concept of linear independence and linear dependence. 1 in a vector space v are said to linearly dependent if vv. 1 , not all 0, such that. 1 are linearly dependent or linearly vv. , which lead to a homogeneous system: if the homogeneous system has only the trivial solution, then the given vectors are linearly independent; if it has a nontrivial solution, then the vectors are linearly dependent. 22 matrices is linearly independent or linearly dependent. vvv. The associated homogeneous system has only the trivial solution c. Determine whether the following set of vectors in the vector space consisting of all. 3 polynomials of degree n is linearly independent or linearly dependent. The homogeneous system has infinite number of solutions, c. 3v in both examples are linear combinations of.