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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 14CR
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b40ce42-ceef-43a2-ad7c-5078dcdbbd94%2Fef9f7f5d-8dbe-4b03-a8eb-77e3fb3c49b2%2Fvrh47x_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
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