(1) Let T: R4 → P4 be the linear transformation given by T (a, b, c, d)) = (a +b+ 3c + 5d) + (b+ 2c + 3d)X + (3a – 4b – 5c – 6d)X²? + dX³ where P4 is the vector space of polynomials of degree < 4 with real coefficients. Find the matrix representation B[T]A of T with respect to the ordered basis A of R4 and the ordered basis B of P4 where A = {(0,0,1,0), (0, 0, 1, 1), (1,0, 1, 0), (1, 1, 1, 1)} = {x²,x³,1, X}. and

(1) Let T: R4 → P4 be the linear transformation given by T (a, b, c, d)) = (a +b+ 3c + 5d) + (b+ 2c + 3d)X + (3a – 4b – 5c – 6d)X²? + dX³ where P4 is the vector space of polynomials of degree < 4 with real coefficients. Find the matrix representation B[T]A of T with respect to the ordered basis A of R4 and the ordered basis B of P4 where A = {(0,0,1,0), (0, 0, 1, 1), (1,0, 1, 0), (1, 1, 1, 1)} = {x²,x³,1, X}. and

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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