Suppose that A and B are 4 x 4 matrices such that B is non-singular. Which of the following statement(s) is/are correct? 1. det(-3AT) = 34 det(A) and det(A) = det(BAB ). %3D %3D 2. det(3B 1) = 34 det(B) and det(A) = . det(BAB-1). %3D 3. det(2AT) = -16 det(A) and det(A) = det(BAB-'). %3D 4. det(2AT) = 2° det(A) and det(A) = det(BAB'). %3D %3D
Suppose that A and B are 4 x 4 matrices such that B is non-singular. Which of the following statement(s) is/are correct? 1. det(-3AT) = 34 det(A) and det(A) = det(BAB ). %3D %3D 2. det(3B 1) = 34 det(B) and det(A) = . det(BAB-1). %3D 3. det(2AT) = -16 det(A) and det(A) = det(BAB-'). %3D 4. det(2AT) = 2° det(A) and det(A) = det(BAB'). %3D %3D
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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![Suppose that A and B are 4 x 4 matrices such that B is non-singular. Which of the following statement(s)
is/are correct?
1. det(-3AT) = 34 det(A) and det(A) = det(BAB 1).
2. det(3B 1) = 34 det(B) and det(A) = det(BAB-1).
3. det(2AT) = -16 det(A) and det(A) = det(BAB1).
4. det(2AT) = 2° det(A) and det(A) = det(BAB-1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcf4d8de-fe87-4bfd-9151-5f526c8068e7%2F1e198277-6e7e-4110-8ff4-a86780ebc514%2Fd7wisy9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that A and B are 4 x 4 matrices such that B is non-singular. Which of the following statement(s)
is/are correct?
1. det(-3AT) = 34 det(A) and det(A) = det(BAB 1).
2. det(3B 1) = 34 det(B) and det(A) = det(BAB-1).
3. det(2AT) = -16 det(A) and det(A) = det(BAB1).
4. det(2AT) = 2° det(A) and det(A) = det(BAB-1).
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