In Exercises 27–30, use coordinate vectors to test the

Chapter 4, Problem 27E

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QUESTION:

In Exercises 27–30, use coordinate vectors to test the linear independence of the sets of polynomials. Explain your work.

\(1+2 t^{3}, 2+t-3 t^{2},-t+2 t^{2}-t^{3}\)

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QUESTION:

In Exercises 27–30, use coordinate vectors to test the linear independence of the sets of polynomials. Explain your work.

\(1+2 t^{3}, 2+t-3 t^{2},-t+2 t^{2}-t^{3}\)

ANSWER:

Solution 27EConsider the following set of polynomials Its need to determine the linear independence of the given set of polynomials using coordinate vectorsThe standard basis for is . Hence

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