3. Let D, E and F be 4×4 matrices such that det(D) = 2, det(E) = 3, and det(F) = 4. Calculate the determinant of each of the following matrices. (a) M DET. (b) M = D³E². = (e) M = (¹²E)³. (f) M = FED¯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
Section: Chapter Questions
Problem 11CC
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3. Let D, E and F be 4×4 matrices such that det (D) = 2, det(E) = 3, and det(F) = 4.
Calculate the determinant of each of the following matrices.
(a) M = DET.
(b) M = D³E2
(c) M = (7F) (5E).
(d) M = (D-¹F2)³.
(e) M = (E) ³.
(f) M = FED-¹.
(g) M = ((3E)-¹(FD)ª).
(h)
M = D³E2²F.
Transcribed Image Text:3. Let D, E and F be 4×4 matrices such that det (D) = 2, det(E) = 3, and det(F) = 4. Calculate the determinant of each of the following matrices. (a) M = DET. (b) M = D³E2 (c) M = (7F) (5E). (d) M = (D-¹F2)³. (e) M = (E) ³. (f) M = FED-¹. (g) M = ((3E)-¹(FD)ª). (h) M = D³E2²F.
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