Let M = {m1, m2, .m,} and N = {m1, m2,., m,, v} be two sets...

 

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Let M = {m1, m2, .m,} and N = {m1, m2,., m,, v} be two sets of vectors from the same vector space V over a field F. Prove that span{M} = span{N} if and only if v E span{M}. %3D ..... Let M = {m1, m2, .m,} and N = {m1, m2,., m,, v} be two sets of vectors from the same vector space V over a field F. Prove that span{M} = span{N} if and only if v E span{M}. %3D .....