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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Overview<strong>Matrix</strong> AlgebraAlgebra➤ Algebra➤ Addition➤ Subtraction➤ Multiplication➤ Identity➤ Zero➤ Unity <strong>Matrix</strong>➤ “Division”➤ Singular Matrices<strong>Matrix</strong> MultiplicationAB =⎡⎢⎣A =⎡⎢⎣⎤a 11 a 12 [a 21 a 22⎥a 31 a 32 ⎦ B =a 42a 41]b 11 b 12 b 13b 21 b 22 b 23⎤a 11 b 11 + a 12 b 21 a 11 b 12 + a 12 b 22 a 11 b 13 + a 12 b 23a 21 b 11 + a 22 b 21 a 21 b 12 + a 22 b 22 a 21 b 13 + a 22 b 23⎥a 31 b 11 + a 32 b 21 a 31 b 12 + a 32 b 22 a 31 b 13 + a 32 b 23 ⎦a 41 b 11 + a 42 b 21 a 41 b 12 + a 42 b 22 a 41 b 13 + a 42 b 23More MatricesGeneral <strong>Linear</strong>ModelOther <strong>Matrix</strong>ProductsWrapping UpLecture 17 Psychology 790
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