Let X be a Gaussian random vector with distribution [1 0 0 (86) 1 0 0 1 Let Ý be a Gaussian random vector formed by multiplying X by a certain matrix: M=61 X~N Find the covariance matrix of Y. 1 X₂

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 14EQ
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Let X be a Gaussian random vector with distribution
0
(BED
1
0
0 1
Let Y be a Gaussian random vector formed by multiplying X by a certain matrix:
X~N
M = 1 외
Find the covariance matrix of Y.
X₁
X₂
X3
Transcribed Image Text:Let X be a Gaussian random vector with distribution 0 (BED 1 0 0 1 Let Y be a Gaussian random vector formed by multiplying X by a certain matrix: X~N M = 1 외 Find the covariance matrix of Y. X₁ X₂ X3
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