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??