Test for consistency and solve the equation | Linear algebra | Part 1

Описание: Linear Algebra | Test for consistency and solve the equation | 8 Problems    • Linear Algebra | Test for consistency and ...  

▶️ Playlist Videos

1️⃣ Test for consistency and solve the equation | Linear algebra | Part 1
🔗    • Test for consistency and solve the equatio...  

2️⃣ Test for consistency and solve the equation | Linear algebra | Part 2
🔗    • Test for consistency and solve the equatio...  

3️⃣ Test for consistency and solve the equation | Linear algebra | Part 3
🔗    • Test for consistency and solve the equatio...  

4️⃣ Test for consistency and solve the equation | Linear algebra | Part 4
🔗    • Test for consistency and solve the equatio...  

5️⃣ Test for consistency and solve the equation | Linear algebra | Part 5
🔗    • Test for consistency and solve the equatio...  

6️⃣ Test for consistency and solve the equation | Linear algebra | Part 6
🔗    • Test for consistency and solve the equatio...  

7️⃣ Test for consistency and solve the equation | Linear algebra | Part 7
🔗    • Test for consistency and solve the equatio...  

8️⃣ Test for consistency and solve the equation | Linear algebra | Part 8
🔗    • Test for consistency and solve the equatio...  



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

In this video, we solve one of the most important questions in Linear Algebra: Testing the Consistency of a System of Equations using the Augmented Matrix Method and Elementary Row Transformations (ERTs).
We convert the system into Echelon Form, check consistency, and then find the complete solution — perfect for VTU, BSc, Diploma & all university exams.
📝 Question
Test the consistency and solve the system of equations:
x + y + z = 6
x − y + 2z = 5
3x + y + z = 8


This question is commonly asked in:
VTU (1st Year), BSc Mathematics, BCA, Diploma, and Competitive Exams covering Linear Algebra.

🎯 Who Should Watch This Video?
This video is ideal for students of:
✔ 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 / BMATE101 / BMATM101 / BMATC101 – Linear Algebra (Module 5)
Perfect for BSc, BCA, Diploma & Degree students learning:
• Consistency of Linear Systems
• Augmented Matrix Method
• Elementary Row Transformations
• Echelon Form & Reduced Echelon Form
• How to classify solutions (Unique, Infinite, or No Solution)
This video is highly recommended for exam preparation, concept strengthening, and last-minute revision.


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