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Prove that if 8: MnXT1(F) > F is an alternating n-linear function, then there exists a

Linear Algebra | 4th Edition | ISBN: 9780130084514 | Authors: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence ISBN: 9780130084514 53

Solution for problem 16 Chapter 4.5

Linear Algebra | 4th Edition

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Linear Algebra | 4th Edition | ISBN: 9780130084514 | Authors: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence

Linear Algebra | 4th Edition

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Problem 16

Prove that if 8: MnXT1(F) > F is an alternating n-linear function, then there exists a scalar k such that 8(A) = A:det(A) for all A G MnXn (F).

Step-by-Step Solution:
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Chapter 6: Applications of Definite Integrals ____________________________________________________________ 6.1 Volumes Using Cross-Sections 1.Method of Slicing -- The cross-section is perpendicular to the x-axis. -- If Δx is small enough, each slice is close to a right cylinder -- The whole volume is n S ≈ ∑ A(x kΔx k = 1 -- where...

Step 2 of 3

Chapter 4.5, Problem 16 is Solved
Step 3 of 3

Textbook: Linear Algebra
Edition: 4
Author: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence
ISBN: 9780130084514

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Prove that if 8: MnXT1(F) > F is an alternating n-linear function, then there exists a

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