3.118 Let B be the standard basis for P3. In each part of this exercise, (i) give B coordinate vectors for each polynomial, (ii) express one of the coordinate vectors as a linear combination of the others, (iii) express one of the given polynomials as a linear combination of the others, and (iv) find a basis for the span of the set of polynomials. (a) {10x+14x², 1 + 2x + 3x², 2 + 14x + 20x²}
3.118 Let B be the standard basis for P3. In each part of this exercise, (i) give B coordinate vectors for each polynomial, (ii) express one of the coordinate vectors as a linear combination of the others, (iii) express one of the given polynomials as a linear combination of the others, and (iv) find a basis for the span of the set of polynomials. (a) {10x+14x², 1 + 2x + 3x², 2 + 14x + 20x²}
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 45E
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