(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Construct an isomorphism from a 2 by 2 symmetric matrix to R^3.

2. Relevant equations

N/A

3. The attempt at a solution

I know that for a transformation to be an isomorphic, it must be one-to-one and onto. Would the transform be T:A->R^3 and I would have to choose a general matrix A to test?

How would I test it not knowing how the transform is mapped?

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# Homework Help: Constructing isomorphisms

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