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Unformatted text preview: v 1 , v 2 , . . . , v p is LI if and only if the vector equation x 1 v 1 + x 2 v 2 + + x p v p = has ONLY the trivial solution. EXAMPLE. Are the vectors 13 2 , 25 3 , and 4 1 linearly independent? Justify your answer. Any list of vectors containing the zero vector is LD. Why? Any list of vectors with more vectors than rows is LD. Why? If one vector in a list is a multiple of another vector in the list, then the list is LD. Why? How many pivot columns must a 9 6 matrix have if its columns are linearly independent? Why? HOMEWORK: SECTION 1.7...
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This note was uploaded on 04/15/2008 for the course M 340L taught by Professor Pavlovic during the Spring '08 term at University of Texas at Austin.
 Spring '08
 PAVLOVIC
 Linear Algebra, Algebra, Vectors, Linear Independence

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