“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第2章课程讲义下载(PDF) Summary Vector A vector is a collection of numbers in a definite order. If it is a collection of $n$ numbers, it is c…

“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第5章课程讲义下载(PDF) Summary Consistent and inconsistent system A system of equations $$[A][X]=[B]$$ where $[A]$ is called the coefficient…

“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第10章课程讲义下载(PDF) Summary Definition If $[A]$ is a $n\times n$ matrix, then $[X]\neq \vec0$ is an eigenvector of $[A]$ if $$[A][X] = \…

“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第9章课程讲义下载(PDF) Summary Ill-conditional system A system of equations is considered to be ill-conditioned if a small change in the coe…

“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第8章课程讲义下载(PDF) Summary Algorithm Given a general set of $n$ equations and $n$ unknowns $$\begin{cases}a_{11}x_1 + a_{12}x_2 +\cdots…

“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第7章课程讲义下载(PDF) Summary For a nonsingular matrix $[A]$ on which one can always write it as $$[A] = [L][U]$$ where $[L]$ is a lower tr…

“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第6章课程讲义下载(PDF) Summary Gaussian elimination consists of two steps: Forward Elimination of Unknowns In this step, the unknown is elim…

“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第4章课程讲义下载(PDF) Summary Transpose Let $[A]$ be a $m\times n$ matrix. Then $[B]$ is the transpose of $[A]$ if $b_{ji} = a_{ij}$ for al…

“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第3章课程讲义下载(PDF) Summary Addition of matrices Two matrices $[A]$ and $[B]$ can be added only if they are the same size. The addition i…

“矩阵代数初步”(Introduction to MATRIX ALGEBRA)课程由Prof. A.K.Kaw(University of South Florida)设计并讲授. PDF格式学习笔记下载(Academia.edu) 第1章课程讲义下载(PDF) Summary Matrix A matrix is a rectangular array of elements. Matrix $A$ is denoted by $$A = \begin{bmatrix}a_{11} & \c…