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Verify that (a) (A+B) + C = A + (B+C). (b) (AB)C= A(BC). (c) A(B+C) = AB + AC.

Verify that (a) (A+B) + C = A + (B+C). (b) (AB)C= A(BC). (c) A(B+C) = AB + AC.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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I just need help with question 3 I have done all the other questions.
1. Using the matrix Find 2. If Verify that (a) AA' and (AA')-¹. (b) The eigenvalues and eigenvectors of AA'. (c) The eigenvalues and eigenvectors of (AA)-¹ A = A = (²₁₁) B=(-²₁) Cc = (3²¹) 3 0 (131) -1 (a) (A + B) + C = A + (B+C). (b) (AB)C= A(BC). (c) A(B+C) = AB + AC. 3. Consider a random vector X'= (X₁, X2, X3) with mean vector ' = (₁, 2, 3) and covariance matrix Σ. The eigenvalues of E are di 12, A2 = 6, 32 and the corresponding eigenvectors are 1/√3 -- ()--(-). = -1/√6 1/√3 1/√3 (a) Find Σ and trace(). (b) Find E and 2-1. (c) Find -1/2. -1/√6 e3 0 1/√2 -1/√2
Transcribed Image Text:1. Using the matrix Find 2. If Verify that (a) AA' and (AA')-¹. (b) The eigenvalues and eigenvectors of AA'. (c) The eigenvalues and eigenvectors of (AA)-¹ A = A = (²₁₁) B=(-²₁) Cc = (3²¹) 3 0 (131) -1 (a) (A + B) + C = A + (B+C). (b) (AB)C= A(BC). (c) A(B+C) = AB + AC. 3. Consider a random vector X'= (X₁, X2, X3) with mean vector ' = (₁, 2, 3) and covariance matrix Σ. The eigenvalues of E are di 12, A2 = 6, 32 and the corresponding eigenvectors are 1/√3 -- ()--(-). = -1/√6 1/√3 1/√3 (a) Find Σ and trace(). (b) Find E and 2-1. (c) Find -1/2. -1/√6 e3 0 1/√2 -1/√2
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