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)¹). (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)¹). (h) M = D³E²F.
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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can you solve parts (E), (F), (G)?
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0a739d8-944f-4b64-9bdb-13f122cf0ef6%2F98765c59-3464-4391-b766-02e7a877ed27%2F3y63t2_processed.png&w=3840&q=75)
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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