Gaussian Elimination | Linear Algebra #8 скачать в хорошем качестве

Gaussian Elimination | Linear Algebra #8

☕️ Buy me a coffee: https://paypal.me/donationlink240 🙏🏻 Support me on Patreon:   / ahmadbazzi   📚About Gaussian elimination, a.k.a row-reduction, is a technique used to solve systems of linear equations. Given a system Ax = b, the coefficients of the matrix A along with vector b are stacked next to each other [ A | b ] to form the so-called Augmented matrix. Then, using an appropriate sequence of row-operations, we can reduce the augmented matrix to an upper-triangular one to solve in a backward manner. The lecture is outlined as follows: 00:00 What does Gaussian Elimination do ? 01:12 Upper Triangular Matrix 02:38 Why do we perform Gaussian Elimination ? 03:16 BackSolving: Solving by back-substitution 05:21 The Gaussian Elimination Procedure 09:06 Example on the Gaussian Elimination Procedure 13:40 Summary Lecture 1: Matrix Arithmetic    • Matrix Arithmetic | Linear Algebra #1   Lecture 2: Linear Transformations    • Linear Transformations | Linear Algebra #2   Lecture 3: Powers of Matrices with Application to Graph Theory    • Powers of Matrices with Application to Gra...   Lecture 4: Non-Singular Matrices and Linear Systems    • Non-Singular Matrices and Linear Systems |...   Lecture 5: Matrix Transpose and Symmetric Matrices    • Matrix Transpose & Symmetric Matrices | Li...   Lecture 6: Introduction to Linear Systems    • Introduction to Linear Equations  | Linear...   Lecture 7: Solving Square Linear Systems    • Solving Square Linear Systems | Linear Alg...      / ahmadbazzi   ●▬▬▬▬▬▬▬๑۩۩๑▬▬▬▬▬▬▬▬● _****╔═╦╗╔╦╗╔═╦═╦╦╦╦╗╔═╗**** _ _****║╚╣║║║╚╣╚╣╔╣╔╣║╚╣═╣**** _ _****╠╗║╚╝║║╠╗║╚╣║║║║║═╣**** _ _****╚═╩══╩═╩═╩═╩╝╚╩═╩═╝**** _ ●▬▬▬▬▬▬▬๑۩۩๑▬▬▬▬▬▬▬▬●