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Unformatted text preview: vertex of the parallelogram whose other vertices are , u , and v . EXAMPLE. Write a system of equations that is equivalent to the vector equation x 1 2 3 5 + x 2 1 2 = 4 1 3 . A linear combination of a list of vectors is a vector formed by adding multiples of the vectors in the list. The multiples used are also called weights . The set of all linear combinations of a list of vectors is called the subset spanned or generated by the vectors in the list. We denote this set by Span { v 1 , v 2 ,..., v p } . EXAMPLE. List three vectors in Span 1 32 , 31 4 . EXAMPLE. Is b = 1 3 1 a linear combination of the vectors formed from the columns of the matrix A = 1 32 5 239 6 ? Describe the subset spanned by these vectors. HOMEWORK: SECTION 1.3...
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This note was uploaded on 05/07/2010 for the course M 56945 taught by Professor Danielallcock during the Spring '09 term at University of Texas at Austin.
 Spring '09
 DANIELALLCOCK
 Equations, Vectors

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