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Let b₁ = [2] and b₂ B = - 3 A = The set B = T(b₁) = 4b₁ + 6b2 and T(b₂) = 2b₁ +8b2. - (a) The B-matrix of T (in other words, the matrix of T relative to the basis B) is {b₁,b₂} is a basis for R2. Let T : R² → R2 be a linear transformation such that (b) The standard matrix of T (in other words, the matrix of T relative to the standard basis for R²) is

Let b₁ = [2] and b₂ B = - 3 A = The set B = T(b₁) = 4b₁ + 6b2 and T(b₂) = 2b₁ +8b2. - (a) The B-matrix of T (in other words, the matrix of T relative to the basis B) is {b₁,b₂} is a basis for R2. Let T : R² → R2 be a linear transformation such that (b) The standard matrix of T (in other words, the matrix of T relative to the standard basis for R²) is

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 18CM
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Let b₁ = [2] and b₂ B = - 3 A = The set B = T(b₁) = 4b₁ + 6b2 and T(b₂) = 2b₁ +8b2. - (a) The B-matrix of T (in other words, the matrix of T relative to the basis B) is {b₁,b₂} is a basis for R2. Let T : R² → R2 be a linear transformation such that (b) The standard matrix of T (in other words, the matrix of T relative to the standard basis for R²) is
Transcribed Image Text:Let b₁ = [2] and b₂ B = - 3 A = The set B = T(b₁) = 4b₁ + 6b2 and T(b₂) = 2b₁ +8b2. - (a) The B-matrix of T (in other words, the matrix of T relative to the basis B) is {b₁,b₂} is a basis for R2. Let T : R² → R2 be a linear transformation such that (b) The standard matrix of T (in other words, the matrix of T relative to the standard basis for R²) is
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