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Linear Algebra Review and Reference

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 .

Jun 20, 2020 · 2 Matrix Multiplication The product of two matrices A2Rm n and B2Rn p is the matrix C= AB2Rm p; where C ij = Xn k=1 A ikB kj: Note that in order for the matrix product to exist, the number of columns in Amust equal the number of rows in B. There are many other ways of looking at matrix multiplication

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