Let b₁ = [3] and b₂ = H [T]B= The set B = (a) The matrix of T relative to the basis B is {6₁, 62₂} i is a basis for R². Let T: R² → R² be a linear transformation such that T(6₁) = 86₁ + 7b₂ and T(6₂) = 66₁ +5b2. [T]E= (b) The matrix of T relative to the standard basis E for R² is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let b₁ = [3] and b₂ = H
[T]B=
The set B =
(a) The matrix of T relative to the basis B is
{6₁, 62₂} i
is a basis for R². Let T: R² → R² be a linear transformation such that T(6₁) = 86₁ + 7b₂ and T(6₂) = 66₁ +5b2.
[T]E=
(b) The matrix of T relative to the standard basis E for R² is
Transcribed Image Text:Let b₁ = [3] and b₂ = H [T]B= The set B = (a) The matrix of T relative to the basis B is {6₁, 62₂} i is a basis for R². Let T: R² → R² be a linear transformation such that T(6₁) = 86₁ + 7b₂ and T(6₂) = 66₁ +5b2. [T]E= (b) The matrix of T relative to the standard basis E for R² is
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