Test for consistency for system of linear equations: Pt 1 | Solved Problems | Linear Algebra

📘 Test for Consistency & Solve the System of Equations | Linear Algebra

In this video, we solve a very important Consistency of Linear Equations problem using the Augmented Matrix Method and Elementary Row Transformations (ERTs) to determine whether the system is consistent, and if consistent, find its complete solution.
A frequently asked question in VTU, BSc, Diploma, and many university exams.

📝 Question
Test for consistency and solve the following system of equations:
• x + y + z = 6
• x − y + 2z = 5
• 3x + y + z = 8

🎯 Who Can Watch This Video?
✔ 1BMATS101 – Calculus & Linear Algebra (Module 5)
✔ 1BMATE101 – Differential Calculus & Linear Algebra (Module 5)
✔ 1BMATM101 – Differential Calculus & Linear Algebra (Module 5)
✔ 1BMATC101 – Differential Calculus & Linear Algebra (Module 5)

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

✔ BSc, BCA, Degree Students learning:
• Consistency of Linear Equations
• Augmented Matrices
• Elementary Row Transformations
• Echelon Form & RREF
✔ Relevant for all universities covering Linear Algebra basics.
Perfect for exam preparation, concept clarity, and last-minute revision.

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