Let be the vector space of polynomials of degree less than or equal to one with real coefficients and A = {-x, x – 1} and B = (b, b.) two of its bases and let Mf = [ the transition matrix from basis A to basis B. a) Obtain the basis vectors B b) Obtain the coordinate vector (,, if [0), = (3,-1) c) Obtain the vector p if (vlA = (3,-1)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 33EQ
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Let be the vector space of polynomials of degree less than or equal to one with real
coefficients and A = {-x, x – 1} and B = {b,b} two of its bases and let Mg =
%3D
the transition matrix from basis A to basis B.
a) Obtain the basis vectors B
b) Obtain the coordinate vector [v]g, if (0), = (3,-1)
c) Obtain the vector p if [v]A = (3,-1)
Transcribed Image Text:Let be the vector space of polynomials of degree less than or equal to one with real coefficients and A = {-x, x – 1} and B = {b,b} two of its bases and let Mg = %3D the transition matrix from basis A to basis B. a) Obtain the basis vectors B b) Obtain the coordinate vector [v]g, if (0), = (3,-1) c) Obtain the vector p if [v]A = (3,-1)
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