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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TransposeOverview<strong>Matrix</strong> Algebra➤ Introduction➤ Definitions➤ Matrices➤ <strong>Matrix</strong> Computing➤ MatricesAlgebraMore MatricesGeneral <strong>Linear</strong>Model● The transpose of a matrix is simply the switching of theindices for rows and columns.● An element a ij in the original matrix (in the i th row and j thcolumn) would be a ji in the transposed matrix (in the j th rowand the i th column).● If the original matrix was of size i × j the transposed matrixwould be of size j × i.[ ]4 7 5A =6 6 3Other <strong>Matrix</strong>ProductsWrapping UpA ′ =⎡⎢⎣4 67 65 3⎤⎥⎦Lecture 17 Psychology 790