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Solution: In Exercises 27–30, use coordinate vectors to test
Chapter 4, Problem 29E(choose chapter or problem)
QUESTION:
Problem 29E
In Exercises 27–30, use coordinate vectors to test the linear independence of the sets of polynomials. Explain your work.
Questions & Answers
QUESTION:
Problem 29E
In Exercises 27–30, use coordinate vectors to test the linear independence of the sets of polynomials. Explain your work.
ANSWER:
Solution 29E
Consider the following polynomials
Our strategy is to determine the linear independence of the given set of polynomials using coordinate vectors.
Observe that, and
Also that,
The coordinate vectors corresponding to the given set of polynomials are
Writing these vectors as the columns of matrix, then we can determine their independence by row reducing the augmented matrix for
