Let me think about Linear Algebra: a summary of basic learning of linear algebra

As a summary of basic learning of linear algebra

A collection of high-quality videos and bloggers , A brief review of recent Linear Algebra Learning .

Chapter one determinant

【 video 】 The reason why the fourth-order determinant does not apply to the diagonal rule ： Answering question Why can't a fourth-order determinant be calculated diagonally _ Bili, Bili _bilibili

【 video 】 Third order determinant diagonal rule advanced ： Lineage - Quick calculation of third-order determinant expansion and characteristic polynomial _ Bili, Bili _bilibili

【 video 】 Negative symmetric determinant solution ： Ingenious determinant calculation _ Bili, Bili _bilibili

Chapter two matrix

【 video 】 Matrix multiplication quick calculation ： Tips for calculating matrix multiplication _ Bili, Bili _bilibili

【 video 】 Simply understand what is rank ：【 Take an examination of Mathematics 】1 Minutes will help you figure out what rank is _ Bili, Bili _bilibili

【 video 】 The geometric meaning of the matrix ：2021 Take an examination of Mathematics , What is the geometric meaning of matrix ？ Does your linear algebra have a soul ？- Longge postgraduate entrance examination _ Bili, Bili _bilibili

【 video 】 Understand the geometric meaning of matrix left multiplication ： Thoroughly explain the geometric meaning of matrix left multiplication vector _ Bili, Bili _bilibili

【 video 】 The geometric meaning of matrix multiplication ：2021 Take an examination of Mathematics , The geometric meaning of matrix multiplication of exclusive Black Technology （ If you want to learn linear algebra, you must come in and read ）_ Bili, Bili _bilibili

【 video 】 Simply feel the adjoint matrix ： Lineage - The adjoint matrix is not believable ？ The third-order matrix makes you believe _ Bili, Bili _bilibili

【 video 】 Block matrix inversion 1： Classic problem of finding inverse matrix ！ Inverse of block matrix 4 The big way , One problem solved ！_ Bili, Bili _bilibili

【 video 】 Block matrix inversion 2： A pithy formula to quickly remember the inverse of block matrix , Simple to use ！！！_ Bili, Bili _bilibili

【 video 】 Invertible problem of abstract matrix ： Teach you a way , To prove that the matrix is reversible ！_ Bili, Bili _bilibili

The third chapter vector

【 video 】 Memory of Schmidt orthogonal formula ： The law of Schmidt orthogonalization formula ( Self use )_ Bili, Bili _bilibili

【 video 】 Schmidt orthogonalization and zhangkewen orthogonalization ：《 Full Score linear algebra 》 Lecture series —— Schmidt orthogonalization and zhangkewen orthogonalization _ Bili, Bili _bilibili

【 video 】 Vector space 1：【 Full version - Massachusetts institute of technology, - linear algebra 】 The first 5 speak -_ Bili, Bili _bilibili

【 video 】 Vector space 2：【 Full version - Massachusetts institute of technology, - linear algebra 】 The first 6 speak - Bili, Bili _bilibili

Chapter four Solutions of linear equations

【 video 】 Linear equation solving process ：【3 Year mathematics 140 School leader 】 Understand the writing of general solutions of linear equations in essence _ Bili, Bili _bilibili

The fifth chapter Eigenvalues and eigenvectors

【 video 】 Eigenvalue introduction and basic review ：P18-2023 Take an examination of Mathematics - Tang Jiafeng line substitute basic class （ Strongly recommend ）_ Bili, Bili _bilibili

【 video 】 Understand eigenvalues and eigenvectors ：【 The essence of linear algebra 】 The eigenvalue / The geometric meaning of eigenvectors _ Bili, Bili _bilibili

【 video 】 A fast method for computing eigenvalues of third-order matrices ：【 Lineage 01 period 】— How to solve matrix eigenvalues quickly by exclusive method _ Bili, Bili _bilibili

【 article 】 Understand the geometric meaning of similarity matrix ： What is the geometric meaning of matrix similarity - Ma's answer - You know

【 video 】 Proof of matrix similarity ： The geometric meaning of matrix similarity _ Bili, Bili _bilibili

【 video 】 Judge whether the two matrices are similar ： Matrix similarity judgment method ~ Good people explain _ Bili, Bili _bilibili

【 article 】 Understand similar diagonalization ： How to understand linear independence to diagonalize ? - Darbuniu's answer - You know

Chapter six Quadratic type

【 article 】 Understand the geometric meaning of contract matrix ： What is the essence of matrix contract - Ma's answer - You know

Treasure blogger

【B standing 】 A great thing young、【B standing 】 Xiao Cui said the number 、【B standing 】 Line Yang 、【 You know 】 Ma classmate