Transcription of Linear Algebra Review and Reference - CS229: Machine …
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Linear Algebra Review and Reference - CS229: Machine …
Linear Algebra Review and ReferenceZico Kolter (updated by Chuong Do and Tengyu Ma)June 20, 2020 Contents1 Basic Concepts and Basic Notation ..22 Matrix Vector-Vector Products .. Matrix-Vector Products .. Matrix-Matrix Products ..53 Operations and The Identity Matrix and Diagonal Matrices .. The Transpose .. Symmetric Matrices .. The Trace .. Norms .. Linear Independence and Rank .. The Inverse of a Square Matrix .. Orthogonal Matrices .. Range and Nullspace of a Matrix .. The Determinant .. Quadratic Forms and Positive Semidefinite Matrices .. Eigenvalues and Eigenvectors .. Eigenvalues and Eigenvectors of Symmetric Matrices ..194 Matrix The Gradient .. The Hessian .. Gradients and Hessians of Quadratic and Linear Functions.
Jun 20, 2020 · So far we have been multiplying on the right by a column vector, but it is also possible to multiply on the left by a row vector. This is written, yT = xTAfor A2Rm n, x2Rm, and y2Rn.As before, we can express yT in two obvious ways, depending on whether we express Ain terms on its rows or columns.
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