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2. Which of the following is a basis for the space of polynomials of degree < 2 over R? (Check all that apply). (a) {1,æ, x²} (b) {x, x + 1, x²,1+2x + x²} (c) {r, x²} (d) {1,1 – x – x²,x+x²} (e) {3+x, -2, x² + 5x + 3}

2. Which of the following is a basis for the space of polynomials of degree < 2 over R? (Check all that apply). (a) {1,æ, x²} (b) {x, x + 1, x²,1+2x + x²} (c) {r, x²} (d) {1,1 – x – x²,x+x²} (e) {3+x, -2, x² + 5x + 3}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Which of the following is a basis for the space of polynomials of degree < 2 over R? (Check all that apply). (a) {1,æ, x² } (b) {r, x + 1, x², 1+ 2x + x²} (c) {r, x²} (d) {1,1 – æ – a² , æ + æ²} (e) {3+x, -2, a² + 5x + 3}
Transcribed Image Text:2. Which of the following is a basis for the space of polynomials of degree < 2 over R? (Check all that apply). (a) {1,æ, x² } (b) {r, x + 1, x², 1+ 2x + x²} (c) {r, x²} (d) {1,1 – æ – a² , æ + æ²} (e) {3+x, -2, a² + 5x + 3}
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