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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<strong>Matrix</strong> MultiplicationOverview<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● Unlike matrix addition and subtraction, matrix multiplication ismuch more complicated.● <strong>Matrix</strong> multiplication results in a new matrix that can be ofdiffering size from either of the two original matrices.● <strong>Matrix</strong> multiplication is defined only for matrices where thenumber of columns of the first matrix is equal <strong>to</strong> the numberof rows of the second matrix.● The resulting matrix as the same number of rows as the firstmatrix, and the same number of columns as the secondmatrix.A B = C(r × c) (c × k) (r × k)Wrapping UpLecture 17 Psychology 790