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Unformatted text preview: B . Determine whether or not T is an isomorphism. If not, ﬁnd a basis for the kernel and image of T , and thus determine the rank of T . (a) T ( z ) = iz from C to C . B = { 1 ,i } (b) T ( f ( t )) = f (t ) from P 2 to P 2 . B = { 1 ,t,t 2 } (c) T ( M ) = M ± 1 2 0 1 ²± 1 2 0 1 ² M from U 2 × 2 to U 2 × 2 (the set of all 2 × 2 upper triangular matrices with entries in R ). B = ³± 1 0 0 1 ² , ± 0 1 0 0 ² , ± 11 ²´...
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This note was uploaded on 12/25/2009 for the course MATH 1920 taught by Professor Pantano during the Spring '06 term at Cornell.
 Spring '06
 PANTANO
 Multivariable Calculus, Vectors

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