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# Random vector. random vector X with zero mean has a covariance matrix Zx with the following eigendecomposition Zx {416 0.5 (2) 0 } What is the variance of each of ...

## Question

###### Random vector. random vector X with zero mean has a covariance matrix Zx with the following eigendecomposition Zx {416 0.5 (2) 0 } What is the variance of each of the entries of the random vector X1, Xz and X3? b. Is it possible to find a unit-norm vector U such that the inner product between X and & (i.e. the amplitude of the projection of X onto that direction) has variance greater than 1? Find three constants 01, 42 and 43, such that at least one of them is nonzero and P(a1X} + (2Xz + a3

Random vector. random vector X with zero mean has a covariance matrix Zx with the following eigendecomposition Zx {416 0.5 (2) 0 } What is the variance of each of the entries of the random vector X1, Xz and X3? b. Is it possible to find a unit-norm vector U such that the inner product between X and & (i.e. the amplitude of the projection of X onto that direction) has variance greater than 1? Find three constants 01, 42 and 43, such that at least one of them is nonzero and P(a1X} + (2Xz + a3X3 = 0) = 1. Justify your answer mathematically; and interpret it geometrically:  #### Similar Solved Questions

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0.2095 g ofsolid zinc and 25.0 mL of 0.2001 M silver nitrate were reacted as below: Zn() + ZAgNOg(eq) ~ Zn(NO3)z(aq) 2Ag() MM (g/mol): Zn = 65.38, AgNOs = 169.87,Zn(NOs)z = 160.39,Ag = 107.87 a) How many grams of solid silver are theoretically produced?  b) 1f 1.05 grams of solid silver was produ...
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