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Unformatted text preview: 3. Find the value(s) of h for which the vectors are linear dependent: a : 24 1 , 6 73 , 8 h 4 b : 113 , 5 7 8 , 1 1 h Solution: a: for all values of h b: h =10 4Determine if the columns of the matrix form a linear independent set: A = 13 323 71 2 14 3 , B = 43 01 4 1 0 3 5 4 6 Solution : A: there are at most three pivot columns yet there are four variables, the equation Ax = 0 has a nontrivial solution (or the number of columns is more than the number of entries), so the columns of A are linearly dependent. B: Bx = 0 has only trivial solution (no free variable), so columns of B are linearly independent...
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 Fall '10
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 Linear Algebra, Algebra

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