Exercise 9.2.2 Determine whether p(x) = 4x² − x is in span {x²+x, x² −1, −x+2}.

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Chapter2: Second-order Linear Odes
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Can you please solve the question 9.2.2 ?

**Exercise 9.2.2:** Determine whether \( p(x) = 4x^2 - x \) is in span \(\{ x^2 + x, \, x^2 - 1, \, -x + 2 \} \).

**Exercise 9.2.3:** Determine whether \( p(x) = -x^2 + x + 2 \) is in span \(\{ x^2 + x + 1, \, 2x^2 + x \} \).
Transcribed Image Text:**Exercise 9.2.2:** Determine whether \( p(x) = 4x^2 - x \) is in span \(\{ x^2 + x, \, x^2 - 1, \, -x + 2 \} \). **Exercise 9.2.3:** Determine whether \( p(x) = -x^2 + x + 2 \) is in span \(\{ x^2 + x + 1, \, 2x^2 + x \} \).
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