Let T be a linear transformation from R to P2 defined by-(E)T=(-2a1 + a2 + 4a3)x² + (a1 – 7a2)x + 8a2 – 5aza3Let Bbe a basis for R3 and B' = {x², x, 1}be a basis for P2a11a12a13Find the standard matrix A of T with respect to B and B' . If A =а21а22a23thenаз1а32a33a11 =, а12a13a21 =a22 =, a23аз1a32 =a33 =

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Let T be a linear transformation from R' to P2 defined by a1 T =(-2a1 + a2 + 4a3)a² + (a1 – 7a2)x + 8a2 – 5az a3 Let B = be a basis for R and B' = {x² , x, 1} be a basis for P2 a11 a12 a13 Find the standard matrix A of T with respect to B and B' . If A = а21 а22 a23 then а31 a32 a33 a11 , a12 = , a13 = a21 , a22 , A23 a31 , a32 , a33 || || ||

Let T be a linear transformation from R' to P2 defined by a1 T =(-2a1 + a2 + 4a3)a² + (a1 – 7a2)x + 8a2 – 5az a3 Let B = be a basis for R and B' = {x² , x, 1} be a basis for P2 a11 a12 a13 Find the standard matrix A of T with respect to B and B' . If A = а21 а22 a23 then а31 a32 a33 a11 , a12 = , a13 = a21 , a22 , A23 a31 , a32 , a33 || || ||

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.3: Matrices For Linear Transformations

Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.

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