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assign2 - Math 136 Assignment 2 Due Wednesday Jan 19th 1...

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Math 136 Assignment 2 Due: Wednesday, Jan 19th 1. Determine, with proof, which of the following are subspaces of R 3 and which are not. a ) S 1 = ~x R 3 | x 1 - x 2 = x 3 b ) S 2 = 1 a b | a, b R c ) S 3 = 0 0 0 d ) S 4 = 0 0 0 , 1 2 3 2. Let ~v 1 , . . . ,~v k be vectors in R n . a) Prove that span { ~v
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