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Unformatted text preview: 4. For a problem in ﬁnding a vector, one good method is to ﬁnd its length and the unit vector parallel to it? Given vectors ~a = [1 , , 1] T and ~ b = [1 ,2 , 2] T , what is the vector when ~a is projected on ~ b ? 1 EX 3 Given a set of vectors { ~ v 1 , ~ v 2 ,..., ~ v n } , consider the following system: x 1 ~ v 1 + x 2 ~ v n + ··· + x n ~ v n = ~ If there is only zeros solution to this system, we call the set of vectors are Linearly Independent , otherwise we call they are Linearly Dependent . If there are LI, x 1 ~ v 1 + x 2 ~ v n + ··· + x n ~ v n is the vector space spanned by these vectors. How about the geometric view of the spanned space? We should work more. Let ~a and ~ b be deﬁned in the EX2. Find the vector space spanned by these vectors using Gauss elimination. 2...
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This note was uploaded on 11/13/2010 for the course SEEM SEEM2018 taught by Professor Chan during the Spring '10 term at CUHK.
 Spring '10
 Chan

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