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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. = (e) M = (¹²E)³. (f) M = FED¯¹.

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.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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