Tet b₁ = [2¹] and b₂ = | (a) The matrix of T relative to the basis B is 6 4 [T] B = [T]E= 5 = 8 (b) The matrix of T relative to the standard basis E for R² is The set B = {₁,₂} is a basis for R². Let T : R² → R² be a linear transformation such that T(6₁) = 66₁ +56₂ and T(6₂) = 4b₁ + ›} 1,

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve b

Tet b₁ = [2¹] and b₂ = |
(a) The matrix of T relative to the basis B is
6
4
[T] B =
[T]E=
5
=
8
(b) The matrix of T relative to the standard basis E for R² is
The set B = {₁,₂} is a basis for R². Let T : R² → R² be a linear transformation such that T(6₁) = 66₁ +56₂ and T(6₂) = 4b₁ +
›}
1,
Transcribed Image Text:Tet b₁ = [2¹] and b₂ = | (a) The matrix of T relative to the basis B is 6 4 [T] B = [T]E= 5 = 8 (b) The matrix of T relative to the standard basis E for R² is The set B = {₁,₂} is a basis for R². Let T : R² → R² be a linear transformation such that T(6₁) = 66₁ +56₂ and T(6₂) = 4b₁ + ›} 1,
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