Find a subset of the vectors that forms a basis for the space spanned by the vectors then express each vector that is not in the basis as linear combination of the basis vectors V 1 0 1 1 v 5 5 3 1 V3 1 5 3 5 V4 11 5 9 7 V2 V3 V4 form the basis V 5V 2V3 3V4 V V2 V3 form the basis V4 6V V 3V3 V V form the basis V3 6V V V4 6V V V V3 V4 form the basis V 1V V3 7V4 V V V4 form the basis V3 6V V 2V4