Let T₁ M22 P₁ and T₂ : P₁ → R³ be the linear transformations given by T₁ ([a b])=(a+b)+(c+d)z_and_ T₂(a + bx) = (a, b,a). Show that T₂ T₁ is not onto by finding a vector (a, b, c) in R³ that is not in the range of T2₂0 T₁.
Let T₁ M22 P₁ and T₂ : P₁ → R³ be the linear transformations given by T₁ ([a b])=(a+b)+(c+d)z_and_ T₂(a + bx) = (a, b,a). Show that T₂ T₁ is not onto by finding a vector (a, b, c) in R³ that is not in the range of T2₂0 T₁.
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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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