Gauss jordan method | linear algebra | Part 3

📘 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.) 🎯 Who Should Watch This Video? (VTU – Latest CBCS/NEP) ✔ 1BMATS101 – Calculus and Linear Algebra (Module 3) ✔ 1BMATE101 – Differential Calculus and Linear Algebra (Module 5) ✔ 1BMATM101 – Differential Calculus and Linear Algebra (Module 4) ✔ 1BMATC101 – Differential Calculus and Linear Algebra (Module 5) ✔ BMATS101 / BMATE101 / BMATM101 / BMATC101 – Linear Algebra (Module 5) ✔ Ideal for BSc, BCA, Diploma and Degree students learning: • Gauss Jordan Method • Augmented Matrix & ERTs • Systems of Linear Equations • Echelon Form and RREF • Consistent, Inconsistent & Dependent Systems Useful for exam preparation, concept clarity, and last-minute revision across all universities. 🧠 Quick Solution Solution: (x₁, x₂, x₃) = (-1/2, −1, 1) 💎 Support Us Join our channel and get access to exclusive perks 👇    / @officialmathematicstutor   #GaussJordan #LinearAlgebra #VTUMaths #EngineeringMathematics #SystemsOfEquations #MatrixMethods #ExamPrep