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- - **Isomorphism**
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IsomorphismThis is a true/false question: All linear transformations from P3 to R2*2 are isomorphisms. I think it is true because dim(P3)=dim(R2*2)=4, and ker(P3)=0. But the answer was false. I don't know why...So that means kernel is not 0?? But P3 has to be zero in order for R2*2 to be 0.... Thanks. |

Re: IsomorphismIt is false. If are vector spaces with , then is a linear transformation but it is not injective. --- http://www.fernandorevilla.es/ |

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