“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…