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Solving Non-Singular System of Linear Equations, Schemes and Mind Maps of Mathematics

A detailed explanation of the process for solving non-singular systems of linear equations. It covers various techniques such as manipulating equations, swapping equations, adding equations, and multiplying equations by a constant. The document also discusses the concept of row echelon form and reduced row echelon form, and how to determine the rank of a matrix. The examples provided illustrate the step-by-step approach to solving systems of linear equations, including cases where the matrix is singular. This comprehensive guide can be valuable for students studying linear algebra, numerical analysis, or related fields, as it offers a thorough understanding of the fundamental concepts and methods involved in solving systems of linear equations.

Typology: Schemes and Mind Maps

2022/2023

Uploaded on 02/21/2024

sabhavath-yashwanth
sabhavath-yashwanth 🇮🇳

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Copyright Notice

These slides are distributed under the Creative Commons License.

DeepLearning.AI makes these slides available for educational purposes. You may not use or distribute these slides for commercial purposes. You may make copies of these slides and use or distribute them for educational purposes as long as you cite DeepLearning.AI as the source of the slides.

For the rest of the details of the license, see https://creativecommons.org/licenses/by-sa/2.0/legalcode

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Solving systems of equations

System

  • a + b = 10
  • a + 2b = 12

Solving systems of equations

System

  • a + b = 10
  • a + 2b = 12

Solving systems of equations

System

  • a + b = 10
  • a + 2b = 12

Solving systems of equations

System

  • a + b = 10
  • a + 2b = 12

Solving systems of equations

System

  • a + b = 10
  • a + 2b = 12

Solving systems of equations