Gauss Jordan Method | System of Equation | Linear Algebra | Part 1

📘 Gauss–Jordan Method | Solve System of Linear Equations | Linear Algebra

In this video, we solve a system of linear equations using the Gauss–Jordan Method.
We form the augmented matrix and apply row operations until we obtain the Reduced Row Echelon Form (RREF), from which the solution is read directly.
A frequently asked problem in VTU, BSc, BCA, Diploma, and many university exams.

📝 Question
Solve the following system of equations using the Gauss–Jordan Method:

x + y + z = 8
−x − y + 2z = −4
3x + 5y − 7z = −14

🎯 Who Can Watch This Video?
✔ 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)

✔ BMATS101, BMATE101, BMATM101, BMATC101 – Linear Algebra (Module 5)
✔ BSc, BCA, Degree Students learning:
• Gauss–Jordan Method
• RREF / Reduced Row Echelon Form
• System of Linear Equations
• Elementary Row Transformations (ERTs)

✔ Useful for all universities covering Linear Algebra basics.
Ideal for exam preparation, concept clarity, and last-minute revision.

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