Скачать или смотреть Gauss Jordan Method | 3 Variables System Solved | Linear Algebra | VTU

📘 Solve by Gauss Jordan Method | Consistent System | Linear Algebra
In this video, we solve the given system of linear equations using the Gauss Jordan Method.
We form the augmented matrix, apply Elementary Row Transformations (ERTs), convert the matrix into Reduced Row Echelon Form (RREF), and directly obtain the final solution without back-substitution.
A very important problem type for VTU, BSc, BCA, Diploma, and many other university exams.

📝 Question
Apply Gauss Jordan Method to solve the following system of equations:
2x₁ + x₂ + 3x₃ = 1
4x₁ + 4x₂ + 7x₃ = 1
2x₁ + 5x₂ + 9x₃ = 3
(We use Augmented Matrix → ERTs → RREF → Final Answer.)

▶️ COMPLETE PLAYLIST LINK
   • Linear Algebra Made Simple | Rank, Consist...  
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🔢 RANK OF MATRIX (Using Elementary Row Transformations)

Rank of Matrix | Part 1
   • Rank of Matrix using Elementary Row Transf...  

Rank of Matrix | Part 2
   • Rank of Matrix using ERTs | Echelon Form M...  

Rank of Matrix | Part 3
   • Rank of 4x4 Matrix using Elementary Row Tr...  

Rank of Matrix | Part 4
   • Find Rank of 4x4 Matrix using ERTs | Step ...  

Rank of Matrix | Part 5
   • Rank of Matrix using Elementary Transforma...  

Rank of Matrix | Part 6
   • Rank of Matrix using ERTs | VTU Important ...  

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🔁 TEST FOR CONSISTENCY OF SYSTEM OF EQUATIONS

Test for Consistency | Part 1
   • Test for Consistency and Solve System of E...  

Test for Consistency | Part 2
   • Consistency of System of Equations using R...  

Test for Consistency | Part 3
   • Test for Consistency using Rank of Matrix ...  

Test for Consistency | Part 4
   • Test for Consistency and Solve | Rank Meth...  

Test for Consistency | Part 5
   • Test for Consistency of Equations | Infini...  

Test for Consistency | Part 6 (No Solution Case)
   • Inconsistent System of Equations | No Solu...  

Test for Consistency | Part 7 (Lambda Mu Cases)
   • Test for Consistency | Find Values of λ an...  

Test for Consistency | Part 8 (Find k Values)
   • Consistency of System | Find Values of k |...  

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➗ GAUSS ELIMINATION METHOD

Gauss Elimination Method | Part 1
   • Gauss Elimination Method | Solve System of...  

Gauss Elimination Method | Part 2
   • Gauss Elimination Method | Solved Numerica...  

Gauss Elimination Method | Part 3
   • Gauss Elimination Method | 3 Variables Sys...  

Gauss Elimination Method | Part 4
   • Gauss Elimination Method | x₁ x₂ x₃ System...  

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🔄 GAUSS JORDAN METHOD

Gauss Jordan Method | Part 1
   • Gauss Jordan Method | Solve System of Equa...  

Gauss Jordan Method | Part 2
   • Gauss Jordan Method | Solved Numerical Pro...  

Gauss Jordan Method | Part 3
   • Gauss Jordan Method | 3 Variables System S...  

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📐 DIAGONALIZATION, EIGENVALUES & EIGENVECTORS

Diagonalization of 2x2 Matrix | Eigenvalues & Eigenvectors
   • Diagonalization of 2x2 Matrix | Eigenvalue...  

Diagonalization of 2x2 Matrix | Find A Power 4
   • Diagonalization of 2x2 Matrix | Find A⁴ Ea...  

Eigenvalues and Eigenvectors of 3x3 Matrix
   • Eigenvalues and Eigenvectors of a 3x3 Matr...  

Eigenvalues and Eigenvectors of 3x3 Matrix (Another Example)
   • Eigenvalues and Eigenvectors of a 3x3 Matr...  

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🎯 Syllabus Mapping (VTU – Latest CBCS/NEP)

This complete playlist is relevant for:

✔ 1BMATS101 – Calculus & Linear Algebra (Module 3)
✔ 1BMATE101 – Differential Calculus & Linear Algebra (Module 5)
✔ 1BMATM101 – Differential Calculus & Linear Algebra (Module 4)
✔ 1BMATC101 – Differential Calculus & Linear Algebra (Module 5)

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Also useful for:

✔ BMATS101 / BMATE101 / BMATM101 / BMATC101 – Linear Algebra (Module 5)
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