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Let T: P₂ (R) → M2x2 (R) be defined by T(P) = p'(0) p'(1) Find the matrix associated to T with respect to the standard bases = (1.x.x²) and y = {[ 8.66 of 2 (R) and Mzxz (R) respectively. ) Let T: R*→ R³ be the linear transformation defined by T(x,y,z,u) = (x + 2y,x-3z + u. 2y + 3z + 4u). Let a and ß be the standard bases for R* and R³ respectively. Find [T].

Let T: P₂ (R) → M2x2 (R) be defined by T(P) = p'(0) p'(1) Find the matrix associated to T with respect to the standard bases = (1.x.x²) and y = {[ 8.66 of 2 (R) and Mzxz (R) respectively. ) Let T: R*→ R³ be the linear transformation defined by T(x,y,z,u) = (x + 2y,x-3z + u. 2y + 3z + 4u). Let a and ß be the standard bases for R* and R³ respectively. Find [T].

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 55EQ
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a) Let T: P₂ (R) → M₂x2 (R) be defined by T (p) = [(0) ()] Find the matrix associated to 7 with respect to the standard bases = (1.x.x²) and y = = 36 36 36 of P₂ (R) and Mzxz (R) respectively. b) Let T: R→ R³ be the linear transformation defined by T(x,y,z,u) = (x + 2y, x-3z +u, 2y + 3z + 4u). Let a and ß be the standard bases for R$ and R³ respectively. Find [7]
Transcribed Image Text:a) Let T: P₂ (R) → M₂x2 (R) be defined by T (p) = [(0) ()] Find the matrix associated to 7 with respect to the standard bases = (1.x.x²) and y = = 36 36 36 of P₂ (R) and Mzxz (R) respectively. b) Let T: R→ R³ be the linear transformation defined by T(x,y,z,u) = (x + 2y, x-3z +u, 2y + 3z + 4u). Let a and ß be the standard bases for R$ and R³ respectively. Find [7]
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