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3. Let D, E and F be 4x4 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)T). (h) M = D³E²F.

3. Let D, E and F be 4x4 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)T). (h) M = D³E²F.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Let D, E and F be 4x4 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)T). (h) M = D³E²F.
Transcribed Image Text:3. Let D, E and F be 4x4 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)T). (h) M = D³E²F.
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