Problem 2 Let A and B be 3 x 3-matrices, with det(A) = -2 and det(B) = 3. (1) Is A invertible? (justify your answer) (2) Is B invertible? (justify your answer) (3) Use properties of determinants to compute: (a) det(AB) (b) det (5A) (c) det(A-1) (d) det(AB-1) (e) det(A3) -17--1
Problem 2 Let A and B be 3 x 3-matrices, with det(A) = -2 and det(B) = 3. (1) Is A invertible? (justify your answer) (2) Is B invertible? (justify your answer) (3) Use properties of determinants to compute: (a) det(AB) (b) det (5A) (c) det(A-1) (d) det(AB-1) (e) det(A3) -17--1
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.2: The Algebra Of Matrices
Problem 61E
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