3. a. Let T: V→R³ be a linear transformation from a vector space V to R¹. Geometrically, what are the possibilities for the range of T? b. Let T: R³W be a linear transformation from R¹ to a vec- tor space W. Geometrically, what are the possibilities for the kernel of T?
3. a. Let T: V→R³ be a linear transformation from a vector space V to R¹. Geometrically, what are the possibilities for the range of T? b. Let T: R³W be a linear transformation from R¹ to a vec- tor space W. Geometrically, what are the possibilities for the kernel 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 12CM
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