- #1
frasifrasi
- 276
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Can anyone tell me clearly what the criteria for isomorphism in linear algebra is?
For instance, my book gives the following reason:
Transformation T is not isomoprhic because T((t-1)(t-3)) = T(t^2 - 4t +3) = zero vector.
I don't get why this means T is not an isomorphism. Can anyone explain?
PS. T is a transformation from P_2 to R^(3).
the actual T is: T(f(t)) =
f(1)
f'(2)
f(3)
Thanks.
For instance, my book gives the following reason:
Transformation T is not isomoprhic because T((t-1)(t-3)) = T(t^2 - 4t +3) = zero vector.
I don't get why this means T is not an isomorphism. Can anyone explain?
PS. T is a transformation from P_2 to R^(3).
the actual T is: T(f(t)) =
f(1)
f'(2)
f(3)
Thanks.