1. Prove or disprove. a) det(4+ B) = det(4) + det(B) b) det(AB²A') = det B c) (A+ B)(A – B) = A² – B’, where A & B are n x n matrices d) (A – B) = AT - BT
1. Prove or disprove. a) det(4+ B) = det(4) + det(B) b) det(AB²A') = det B c) (A+ B)(A – B) = A² – B’, where A & B are n x n matrices d) (A – B) = AT - BT
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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