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Unformatted text preview: { ~x R 4  x 1 + 2 x 3 = 0 and x 13 x 4 = 0 } c) The set of all 3 3 diagonal matrices in M (3 , 3). 4: Let V and W be vector spaces and let T : V W be a linear mapping with Null( T ) = { ~ } . Suppose that { ~v 1 ,...,~v k } a linearly independent set in V . Prove that { T ( ~v 1 ) ,...,T ( ~v k ) } is a linearly independent set in W . 1...
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This note was uploaded on 01/06/2011 for the course MATH 136 taught by Professor All during the Winter '08 term at Waterloo.
 Winter '08
 All
 Equations

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