Answer C only 1. Prove or disprove.a) det(A+B) = det(A) + det(B)b) det(AB¯A') = det Bc) (A+B)(A– B) = A² – B², where A & B are n × n matricesd) (4 – B) = AT - BT%3D

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Answered: Answer C only

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Answer C only

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.6: Matrices

Problem 18E: Prove part b of Theorem 1.35. Theorem 1.35 Special Properties of Let be an arbitrary matrix...

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Question

Answer C only

1. Prove or disprove.
a) det(A+B) = det(A) + det(B)
b) det(AB¯A') = det B
c) (A+B)(A– B) = A² – B², where A & B are n × n matrices
d) (4 – B) = AT - BT
%3D

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