Recent content by Cali210

  1. C

    Can Linear Independence Affect Pivot Positions in Matrix Columns?

    Homework Statement So the question is, Prove the following: Let A be an n x n matrix. If there exists a vector v in Rn that is not a linear combination of the columns of A, then at least one column of A is not a pivot column. Homework Equations The only relevant theorem I think is the...