Question statement : True or false ? If $A$ is a ($4 \times 8$) matrix, then any six columns are linearly dependent. Textbook answer : True.
I can't understand the reasoning behind this. From my perspective , for such matrix there are at most 4 pivot columns, therefore at most 4 linearly independent columns, which would imply there are at most 4 linearly dependent columns ?
I don't know where to begin, help would be appreciated.