(4) V2 = A basis for R³ consists of the three vector V₁ = , V3 = 1 2 3 " (You do not have to verify that is a basis for R³.) There is a linear transformation T : R³ → R³ which satisfies T(v₁) = 2v₁, T(v₂) = −5v3, T(V3) = V1 — 2Vv2. Compute the determinant of T.
(4) V2 = A basis for R³ consists of the three vector V₁ = , V3 = 1 2 3 " (You do not have to verify that is a basis for R³.) There is a linear transformation T : R³ → R³ which satisfies T(v₁) = 2v₁, T(v₂) = −5v3, T(V3) = V1 — 2Vv2. Compute the determinant of T.
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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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