Find the covariance matrix of Y, Y2 and Y3

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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P Zero mean Gaussian random variables X1, X,and X3having a covariance matrix.
1.05]
2.05
4
2.05
=| 2.05
1.05
4
2.05
4
are transformed to new variables.
Y1= 5 X1+ 2 X2-X3
Y2= - X1+ 3 X2 + X3
Y3= 2X1- X2 + 2X3
Find the covariance matrix of Y1, Y, and Y3
Transcribed Image Text:P Zero mean Gaussian random variables X1, X,and X3having a covariance matrix. 1.05] 2.05 4 2.05 =| 2.05 1.05 4 2.05 4 are transformed to new variables. Y1= 5 X1+ 2 X2-X3 Y2= - X1+ 3 X2 + X3 Y3= 2X1- X2 + 2X3 Find the covariance matrix of Y1, Y, and Y3
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