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Unformatted text preview: is the zero vector which can never be part of a linearly independent set of vectors. The rst and fourth columns are linearly independent because the fourth one has a zero in a row where the rst column does not. So, since the image is the set of linear combinations of the columns, { 1 2 1 , 4 8 } is a basis for it. That is the set that you would get by removing redundant vectors, but the second and fourth columns of A are also a basis for the image....
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This note was uploaded on 02/06/2011 for the course MATH 33a taught by Professor Lee during the Fall '08 term at UCLA.
 Fall '08
 lee
 Vectors

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