A matrix's columns are independent iff every column is a pivot column in its reduced row-echelon form. A nonpivot column corresponds to a free variable and hence a nonzero null vector. The pivots are read from the reduced matrix, while the independence statement concerns the original columns.
Parents
Like how this is organised?
Build your own knowledge tree on knowen.md: notes, decisions and tasks in one connected markdown graph, shared with your team and your AI agents.