LinearAlgebraReviewandReference

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Linear Algebra Review and ReferenceZico Kolter (updated by Chuong Do)September 30, 2015Contents1 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.

2 Matrix Multiplication The product of two matrices A ∈ Rm×n and B ∈ Rn×p is the matrix C = AB ∈ Rm×p, where Cij = Xn k=1 AikBkj. Note that in order for the matrix product to exist, the number of columns in A must equal the number of rows in B. There are many ways of looking at matrix multiplication, and we’ll start by examining a ...

  Matrix, Multiplication, Multiplication matrix