Let A and B be 2 × 2 matrices. (a) Does det(A + B) = det(A) + det(B)? (b) Does det(AB) = det(A) det(B)? (c) Does det(AB) = det(BA)? Justify your answers.
Let A and B be 2 × 2 matrices. (a) Does det(A + B) = det(A) + det(B)? (b) Does det(AB) = det(A) det(B)? (c) Does det(AB) = det(BA)? Justify your answers.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 7CC: If A and B are matrices with the same dimension and k is a real number, how do you find A+B and kA ?
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Let A and B be 2 × 2 matrices.
(a) Does det(A + B) = det(A) + det(B)?
(b) Does det(AB) = det(A) det(B)?
(c) Does det(AB) = det(BA)?
Justify your answers.
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