{1, x, x²} and B₂ 1. Let B₁ {x − 3, x² − x − 1,2} be ordered bases of P₂ (R), and let C = {e₁,e2, e3} be the standard basis of R³. Let T € L(P₂(R), R³) be a linear transformation, and suppose that with respect to B₁ and C, its matrix is given by [1 1 1] 031 102 Find the matrix of T with respect to B₂ and C. = = M(T) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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{1, x, x²} and B₂
1. Let B₁
{x − 3, x² − x − 1,2} be ordered bases of P₂ (R), and
let C =
{e₁,e2, e3} be the standard basis of R³. Let T € L(P₂(R), R³) be a linear
transformation, and suppose that with respect to B₁ and C, its matrix is given by
[1 1 1]
031
102
Find the matrix of T with respect to B₂ and C.
=
=
M(T)
=
Transcribed Image Text:{1, x, x²} and B₂ 1. Let B₁ {x − 3, x² − x − 1,2} be ordered bases of P₂ (R), and let C = {e₁,e2, e3} be the standard basis of R³. Let T € L(P₂(R), R³) be a linear transformation, and suppose that with respect to B₁ and C, its matrix is given by [1 1 1] 031 102 Find the matrix of T with respect to B₂ and C. = = M(T) =
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