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Linear Algebra and Linear Models 2025

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The document consists of lectures on Linear Algebra and Linear Models by Bruce Walsh at the University of Arizona, focusing on quantitative-genetic analysis. It discusses the use of linear models in estimating parameters, matrix algebra basics, operations like addition, multiplication, and transposition of matrices, and their applications in regression analysis. The document also covers expectations of random vectors, covariance matrices, multivariate normal distribution properties, and hypothesis testing in linear models. It emphasizes the importance of linear models in quantitative genetics for analyzing phenotypic values based on genotypic and environmental factors.

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