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2. If Verify that A = -2 (²3) B = (2²¹) c= (²¹) C 1) 0 2 (a) (A + B) + C = A + (B+C). (b) (AB)C= A(BC). (c) A(B+C) = AB + AC.

2. If Verify that A = -2 (²3) B = (2²¹) c= (²¹) C 1) 0 2 (a) (A + B) + C = A + (B+C). (b) (AB)C= A(BC). (c) A(B+C) = AB + AC.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I need help with number 2 I have already finished number 1
1. Using the matrix Find 2. If Verify that A = (a) AA' and (AA')-¹. (b) The eigenvalues and eigenvectors of AA'. (c) The eigenvalues and eigenvectors of (AA)-¹ (131) -1 A = (²₁₁) B=(-²₁) Cc = (3²¹) 3 0 (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 (a) Find Σ and trace(). (b) Find E and 2-1. (c) Find -1/2. 1/√3 -- () --- (-). = 1/√3 -1/√6 1/√3 -1/√6 e3 0 1/√2 -1/√2
Transcribed Image Text:1. Using the matrix Find 2. If Verify that A = (a) AA' and (AA')-¹. (b) The eigenvalues and eigenvectors of AA'. (c) The eigenvalues and eigenvectors of (AA)-¹ (131) -1 A = (²₁₁) B=(-²₁) Cc = (3²¹) 3 0 (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 (a) Find Σ and trace(). (b) Find E and 2-1. (c) Find -1/2. 1/√3 -- () --- (-). = 1/√3 -1/√6 1/√3 -1/√6 e3 0 1/√2 -1/√2
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