Originally Posted by

**crymorenoobs** I need to show that the following set of 2x2 matrices forms a basis for the subspace that it spans, ie) that it is linearly independent.

{[1 1] [0 1] [2 0] }

{[1 0], [1 1], [0 -1]}

For a vector set I would just form a columnspace matrix, row reduce, and ensure that there are no parameters (that the rank is equal to the amount of variables).

How do I go about forming a matrix to use this method with the given 2x2 matrices.

Or, what method should I use to show that this matrix set is linearly independent??