A span of a set of vectors can be linearly dependent or independent and there is the concept of the dimension of a the span of a set of vectors. What I found difficult was the idea of redundant vectors. If a combination of matrixes cancels a variable out of the final solution, than why have it in the matrix to begin with?
My concern with this section is the importance of whether a matrix is linearly dependent or independent. How does it apply to a real world situation? OR is this section suppose to show us other ways to manipulate vectors, I am having trouble realizing what the purpose of spanning matrixes is.
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