Let x = (x1 x2 x3) T a Gaussian vector with zero mean and covariance matrix: a)Determine px(X). b)If y = x1 + 3x2 − x3 then determine py(Y ). c)Determine pz(Z), where (image) d)Determine px1|x2=β(X1).

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Let x = (x1 x2 x3) T a Gaussian vector with zero mean and covariance matrix:
a)Determine px(X).
b)If y = x1 + 3x2 − x3 then determine py(Y ).
c)Determine pz(Z), where (image)
d)Determine px1|x2=β(X1).

330
350
006
Transcribed Image Text:330 350 006
5 -3 1
-0-6790)
-1 3 -1
1
2=
21
22
23
1
X1
X2
Transcribed Image Text:5 -3 1 -0-6790) -1 3 -1 1 2= 21 22 23 1 X1 X2
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