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Unformatted text preview: only if x = sy for some s 6 = 0 . • n nonzero vectors are linearly independent if one can be rep-resented as linear combination of the others. • Any three or more 2-dimensional vectors (vectors with two entries) are linear dependent. • Any four or more 3-dimensional(vectors with three entries) vectors are linear dependent. To determine if a given set of vectors are linearly independent, create a matrix so that the row of the matrix are given vectors. Using Mathcad function rref( ) to ﬁnd the reduced echelon form of the matrix, if the result contains one or more rows that are entirely zero the vectors are linearly dependent, otherwise the vectors are linearly independent....
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This note was uploaded on 10/04/2011 for the course MAP 4231 taught by Professor Dr.han during the Spring '11 term at UNF.
- Spring '11