Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P2: B = с = {2 x 2, 2+2x-x2, -3- 3x + 2x2}, - {-1 x+x2, (-1) + x², 2 x2}. - a. Find the change of basis matrix from the basis B to the basis C. [id]e 9- b. Find the change of basis matrix from the basis C to the basis B. [id]
Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P2: B = с = {2 x 2, 2+2x-x2, -3- 3x + 2x2}, - {-1 x+x2, (-1) + x², 2 x2}. - a. Find the change of basis matrix from the basis B to the basis C. [id]e 9- b. Find the change of basis matrix from the basis C to the basis B. [id]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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