coursera linear algebra

Long story short Suppose we are using the latest release, 1.9.9.9, which does not support linear algebra anymore in its PowerPack. but linear algebra is supported before in 1.9.7.8. under its bin \ folder, there is a DLL named FSharp. powerPack. math. providers. dll. "Math providers" means F # callother math libraries,

rate, that is, AB! = BA.@, define a m*n matrix a transpose (transpose) to n*m Matrix B, defined as Bji = AIJ where j=1, ..., N and I=1, ..., M. a transpose is at.@, defines a n*n matrix A, if satisfied at=a, is called symmetric (symmetric).@, the Law of matrix algebra:@, Unit matrix (Identity matrix): I = (Δij), where Δij = 1 (When I = j) or 0 (when i≠j). BI = B, IC = C.@, use column vectors to denote i, I = (e1, E2, ..., en), do not use IJ.@, define

matrix can be orthogonal diagonalization equivalent to it is a symmetric matrix. \ (a=pdp^{-1}\) can get PCA (machine learning algorithm principal component analysis, diagonalization of covariance matrix (symmetry)) The two-time equation is transformed into a form without cross-multiplication. X=py, \ (A = pdp^{-1}\). For two functions \ (x^{\top}ax\), the |x| = 1, the maximum value is the maximum eigenvalue and the minimum value is the minimum eigenvalue. If the maximum eigenvalue

What is the practical significance of linear algebra? What is the matrix? What does the operation between matrices represent? Many people still don't understand these questions at school, so I think we should start with understanding the nature of the course. There are only a few articles or answers that provide an understanding of the nature of linear

* */ /** * Linear Algebra Cheat-sheet enumerated these operations: Https://github.com/scalanlp/breeze/wiki/Linear-Algebra-Cheat-Sheet * similar to MATLAB or NumPy, Breeze also supports a range of operations Breeze matlab numpy

The two theorems are very simple, obviously, and seem to be the basic arithmetic in proving matrix algebra. But it lays a theoretical foundation for understanding Matrix-vector Product ax with "linear transformation".Combining the properties of the matrix and vector product AX we discussed before, we can introduce a linear transformation.Because the properties of

Clairvoyant-Linear algebra-matrix theoryBook recommendations:Linear algebra: Domestic I think Li Shangzhi's linear algebra and blue to the high-generation concise tutorial is very good, the concept of explanation is very easy to understand, the study of computational skills

, the linear equations (1) can use the following matrix (2) . In fact, with (2), the linear equations except words that represent unknown numbers (1) are determined, and the words used to represent unknown numbers are of course not substantive. I learned how to use addition and subtraction elimination methods and substitution elimination methods to solve binary and ternary

Review... Copy linear algebra and Its Application Linear Equations 1. Similar X_1-2x_2 =-1 -X_1 + 3x_2 = 3 There are three situations 1. No solution 2. There is a unique solution 3. There is an infinite Solution Consider two parallel lines, the intersection line, and the exact coincidence line. Solving Equations Primary Line Transformation (Multipl

On the Internet to see an article, looked after the feeling quite deep. He tells the nature of linear algebra, and intuitively describes linear spaces, vectors, and matrices. The linear algebra course, whether you start from the determinant or directly from the matrix, is ri

The nature of linear algebraWen/FengThe linear algebra course, whether you start from the determinant or directly from the matrix, is riddled with inexplicable beginnings.For example, in the national General Engineering Department of teaching the most widely used in Tongji linear a