Question

Determine if the first vector is a linear combination of the other two vectors. Show algebraically...

Determine if the first vector is a linear combination of the other two vectors. Show algebraically how you found your answer.

2x^2 + 2x + 1, -x^2 + 2x + 1, -2x^2 + 2x + 1 in P2 (P subscript 2) (R).

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Answer #1

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now we have 3 vector

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now write first vector is a linear combination of the other two vectors

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augmented matrix is

solution is

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so linear combination is

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or

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