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Unformatted text preview: B . Determine whether or not T is an isomorphism. If not, nd 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  1 2 0 1 M from U 2 2 to U 2 2 (the set of all 2 2 upper triangular matrices with entries in R ). B = 1 0 0 1 , 0 1 0 0 , 11...
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 Spring '06
 PANTANO
 Multivariable Calculus, Vectors

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