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Solved: In Exercises 27–30, use coordinate vectors to test
Chapter 4, Problem 28E(choose chapter or problem)
QUESTION:
In Exercises 27–30, use coordinate vectors to test the linear independence of the sets of polynomials. Explain your work.
\(1-2 t^{2}-t^{3}, t+2 t^{3}, 1+t-2 t^{2}\)
Questions & Answers
QUESTION:
In Exercises 27–30, use coordinate vectors to test the linear independence of the sets of polynomials. Explain your work.
\(1-2 t^{2}-t^{3}, t+2 t^{3}, 1+t-2 t^{2}\)
ANSWER:Solution 28EConsider the following polynomials Our strategy is to determine the linear independence of the given set of polynomials using coordinate vectors.The coordinate vectors corresponding to the given set of polynomials are Writing these vectors as the columns of matrix , we can determine their independence by row reducing the augmented matrix for