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okay in this video we want to find a basis of the subspace spanned by these vectors here and well this is a really simple problem to do again youre being asked what you were asked in previous problems just asked differently so dont ask me why they theres a million different names for these things okay so finding a basis for the subspace spanned by these vectors is the same thing as finding a basis for the column space of a matrix so what we would do here is we would take our vectors we would write them as some coefficient matrix and then we would perform reduced row echelon form on it and if you dont know how to do that yet what you do here is you go in your calculator go to matrix go over to edit type in your make your count your matrix here this is a four by four so Ive got this type in here quit out of there go back in the matrix go to math go down to rref go back into matrix select the matrix you had edited already which I have it is a hit enter