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Unformatted text preview: T ) = AntiSymm( R ) 4. Let S be an invertible n n matrix and consider the linear map defined by: AS A T R M R M T n n n n ) ( ) ( ) ( : Show that T is one-to-one and onto. (20 pts) 5. Consider the linear map (differentiation) defined by: (10 pts) ) ( )) ( ( ] [ ] [ : 1 x p x p D x P x P D n n Find Ker( D ) and use that to conclude that D is onto. ( Hint : Use the Dimension Formula for the 2 nd half of the problem)...
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- Spring '07