Does this actually work well? We won't learn isomorphisms in linear algebra, but a friend of mine showed me an example as I prefer to work with vectors and matrices rather than polynomials (All of my problem sets are with matrices and vectors).(adsbygoogle = window.adsbygoogle || []).push({});

For example, if I wanted to find a basis for P_{3}that contains the polynomial 8x^3 - 2x^2 + 5x + 11, could you use isomorphisms to transform it into a vector in R^{4}and then find a basis?

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# Using isomorphisms to transform polynomials to vectors.

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