Chapter 5: Matrix Approaches to Simple Linear Regression
Chapter 5: Matrix Approaches to Simple Linear Regression
Chapter 5: Matrix Approaches to Simple Linear Regression
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Unity <strong>Matrix</strong>Overview<strong>Matrix</strong> AlgebraAlgebra➤ Algebra➤ Addition➤ Subtraction➤ Multiplication➤ Identity➤ Zero➤ Unity <strong>Matrix</strong>➤ “Division”➤ Singular MatricesMore MatricesGeneral <strong>Linear</strong>ModelOther <strong>Matrix</strong>ProductsWrapping Up● The Unity matrix is defined as a matrix where all of theelements are 1.● A column vec<strong>to</strong>r with all elements 1 will be denoted by:⎡ ⎤111 (rx1) =⎢⎥⎣ . ⎦1● A square matrix where all the elements are 1 will be denotedby J:⎡ ⎤1 · · · 1J (rxr) = ⎢⎣.⎥. ⎦1 . . . 1Lecture 17 Psychology 790
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