Test for consistency for system of linear equations: Pt 4 | Solved Problems | Linear Algebra

📘 Consistency of Linear Equations | Solve Using Echelon Form | Linear Algebra

In this video, we test the consistency of a system of three linear equations using Elementary Row Transformations (ERTs) and then solve the system step-by-step.
A commonly asked question in VTU, BSc, Diploma, and many university exams.

📝 Question
Test for consistency and solve the system of equations:

5x + y + 3z = 20
2x + 5y + 2z = 18
3x + 2y + z = 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:
• System of Linear Equations
• Echelon Form
• Rank Method & Consistency
✔ Relevant for all universities covering Linear Algebra fundamentals.

Perfect for exam preparation, concept clarity, and last-minute revision.

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