Define T:P, → R3 by T(p(t)) = (p(1), p(0), p(0)), where P, is the set of polynomials of degree at most 2. (A) Determine whether T is a linear transformation or not. (solution) (B) Is T a matrix transformation? If yes, find its standard matrix. If not, explain why not. (solution)
Define T:P, → R3 by T(p(t)) = (p(1), p(0), p(0)), where P, is the set of polynomials of degree at most 2. (A) Determine whether T is a linear transformation or not. (solution) (B) Is T a matrix transformation? If yes, find its standard matrix. If not, explain why not. (solution)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 3EQ: In Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB,...
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