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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Identity <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>Products● The identity matrix is defined as a matrix that when multipliedwith another matrix produces that original matrix:A I = AI A = A● The identity matrix is simply a square matrix that has alloff-diagonal elements equal <strong>to</strong> zero, and all diagonalelements equal <strong>to</strong> one.I (3×3) =⎡⎢⎣1 0 00 1 00 0 1⎤⎥⎦Wrapping UpLecture 17 Psychology 790