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...Linearly dependent independent algebraic thevectorsv v vn arelinearlydependentifthereisanon triviallinearcombinationofv defthat equals the zero vector otherwise they are explain how geometric definition of linear dependence original implies this one new since we have def and should be read aloud as two definitions equivalent which write jasonsiefken suppose for some unknown u w a could set that r s is only way to using independence creating examples fill in following chart keeping track strategies you used generate aset vectors at least generalizations can made from these create them iolateamiola math vt edu...