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Unformatted text preview: R n . Prove that every ~x ∈ R n can be written as a unique linear combination of the vectors in B . 5. Prove that if { ~v 1 ,...,~v k } is linearly independent, then { ~v 1 ,...,~v k1 } is linearly independent. 6. Prove that if { ~a, ~ b } is a spanning set for R 2 , then { ~a, ~ bt~a } is also a spanning set for R 2 for any t ∈ R . 1...
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This note was uploaded on 02/22/2012 for the course MATH cs136 taught by Professor Mark during the Winter '12 term at Waterloo.
 Winter '12
 Mark

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