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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The InverseOverview<strong>Matrix</strong> AlgebraAlgebra➤ Algebra➤ Addition➤ Subtraction➤ Multiplication➤ Identity➤ Zero➤ Unity <strong>Matrix</strong>➤ “Division”➤ Singular MatricesMore MatricesGeneral <strong>Linear</strong>Model● For a square matrix, an inverse matrix is simply the matrixthat when pre-multiplied with another matrix produces theidentity matrix:A −1 A = I● <strong>Matrix</strong> inverse calculation is complicated and unnecessarysince computers are much more efficient at finding inversesof matrices.● One point of emphasis: just like in regular division, divisionby zero is undefined.● By analogy - not all matrices can be inverted.Other <strong>Matrix</strong>ProductsWrapping UpLecture 17 Psychology 790
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