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Unformatted text preview: and systems of equations! 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 ﬁve 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, # 2, 6, 10, 12, 16, 18, 22, 25, 26...
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This note was uploaded on 03/24/2008 for the course M 340L taught by Professor Pavlovic during the Spring '08 term at University of Texas.
 Spring '08
 PAVLOVIC
 Equations, Vectors, Matrices

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