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...Linear algebra review and reference zico kolter updated by chuong do september contents basic concepts notation matrix multiplication vector products operations properties the identity diagonal matrices transpose symmetric trace norms independence rank inverse orthogonal range nullspace of a determinant quadratic forms positive semidenite eigenvalues eigenvectors calculus gradient hessian gradients hessians functions least squares as optimization provides way compactly representing operating on sets equations for example consider following system x this is two variables so you know from high school can nd unique solution unless are somehow degenerate if second equation simply multiple rst but in case above there fact we write more ax b with will see shortly many advantages including obvious space savings to analyzing form weuse rm n denote m rows columns where entries real numbers rn convention an dimensional often thought column known want explicitly represent row t typically here den...