Consider the vector space V over the real numbers, consisting of all polynomials of degree less than or equal to 3. Let B={1,x,x^2,x^3} be a basis for V. Question: Find the coordinates of the polynomial p(x)=2−3x+5x^2 with respect to the basis B.
Consider the vector space V over the real numbers, consisting of all polynomials of degree less than or equal to 3. Let B={1,x,x^2,x^3} be a basis for V. Question: Find the coordinates of the polynomial p(x)=2−3x+5x^2 with respect to the basis B.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 4EQ
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Question: Find the coordinates of the polynomial p(x)=2−3x+5x^2 with respect to the basis B.
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