1. Let Z (Z₁,..., Zn), here 'T' denotes transpose of a matrix, have a Nn(0. In) distribution. Let I be a positive semi-definite, symmetric matrix and let u be an n x 1 vector of constants. Define the random vector X by X = ¹/2Z + μ. This means that X multivariate normal with mean μ and covariance matrix Σ. True or False. Explain

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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1. Let Z (Z₁, .... Zn), here 'T' denotes transpose of a matrix, have a Nn(0, In) distribution. Let Σ be a positive semi-definite,
symmetric matrix and let u be an n x 1 vector of constants. Define the random vector X by X = ¹/2²Z + μ. This means that
X multivariate normal with mean μ and covariance matrix Z. True or False. Explain
Transcribed Image Text:1. Let Z (Z₁, .... Zn), here 'T' denotes transpose of a matrix, have a Nn(0, In) distribution. Let Σ be a positive semi-definite, symmetric matrix and let u be an n x 1 vector of constants. Define the random vector X by X = ¹/2²Z + μ. This means that X multivariate normal with mean μ and covariance matrix Z. True or False. Explain
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