Gauss elimination method | Problem #2 | Linear Algebra | Engineering Mathematics

📘 Gauss Elimination Method | Solve System of Linear Equations | Linear Algebra

In this video, we solve a system of linear equations using the Gauss Elimination Method.
We convert the system into an augmented matrix, apply forward elimination to obtain an upper triangular form, and finally perform back substitution to get the values of x,y,zx, y, zx,y,z.
A very important problem for VTU, BSc, BCA, Diploma, and many university-level exams.

📝 Question
Solve the following system of equations by Gauss Elimination Method:

2x + y + 4z = 12
4x + 11y − z = 33
8x − 3y + 2z = 20

🎯 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 Elimination
• System of Linear Equations
• Elementary Row Transformations (ERTs)

✔ Useful for all universities covering Linear Algebra basics.
Perfect for exams, concept clarity, and last-minute revision.

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