Eigenvalue Eigenvector (3×3) | Step-by-Step | Most Important Question
Автор: MENTOR ENGINEERING ACADEMY
Загружено: 2025-11-30
Просмотров: 46
Описание:
Master Eigenvalues and Eigenvectors for a 3×3 Matrix with the simplest, exam-focused explanation!
This video teaches how to find the Characteristic Equation, Eigenvalues, and Eigenvectors of a 3×3 matrix step-by-step.
Ideal for Engineering Maths, MSBTE Diploma, B.Tech, and University Exams.
📌 Topics Covered in This Lecture:
✔ What are Eigenvalues?
✔ What are Eigenvectors?
✔ How to form the characteristic polynomial
✔ Solving |A − λI| = 0 for 3×3 matrix
✔ Finding eigenvectors for each λ
✔ Fully solved numerical example
✔ Shortcut & exam tips
📘 Main Formulae:
|A − λI| = 0 → Eigenvalues
(A − λI)X = 0 → Eigenvectors
🎯 Best For:
• Engineering First Year
• MSBTE Diploma
• Linear Algebra Chapter
• B.Tech / B.E. All Universities
• Competitive Exams (GATE basics, technical exams)
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🏫 MENTOR ENGINEERING ACADEMY
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