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4-2. If f: V→ V is a linear transformation and dim V = n, then f*: A"(V)→ A"(V) must be multiplication by some constant c. Show that c- • det f.

4-2. If f: V→ V is a linear transformation and dim V = n, then f*: A"(V)→ A"(V) must be multiplication by some constant c. Show that c- • det f.

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 4CM
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Dg 118.

Calculus on Manifolds by Michael Spivak, Section 4. Integration of Chains, page 75

4-2. If f: V→ V is a linear transformation and dim V = n, then f*: A" (V)→ Show that c- A" (V) must be multiplication by some constant c. det f.
Transcribed Image Text:4-2. If f: V→ V is a linear transformation and dim V = n, then f*: A" (V)→ Show that c- A" (V) must be multiplication by some constant c. det f.
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