23.Orthogonal Transformation | Concept, Working Rule & Examples | Engineering M1 Unit-II

In this video, we explain the Concept of Orthogonal Transformation in detail, along with its mathematical importance and applications. This topic is a key part of Unit II – Eigenvalues and Eigenvectors from Engineering Mathematics – M1 (JNTUH R22 syllabus).

📌 In this video, you will learn:

✅ What is an Orthogonal Transformation?
✅ Step-by-step working rule for orthogonal transformations
✅ How to use orthogonal transformation to reduce quadratic forms
✅ Properties of orthogonal matrices
✅ Solved examples for better understanding
✅ Importance of orthogonal transformation in real-world engineering problems

💡 Why this topic is important:
Orthogonal transformations simplify matrices without changing their essential properties. They are widely used in data science, control systems, machine learning, and IoT applications for simplifying computations and preserving geometric relationships.

This video is part of our M1 Complete Course, where you get:

📖 Full video lectures for all 5 units
📝 Notes + Important Questions for exams
🎥 Online sessions for doubt clarification
💬 Chat box support for student queries
📱 Complete access to the course on our mobile application
👉 Enroll now for the M1 Complete Course here:
🔗 Click to Join the Course

Stay tuned for the next video, where we’ll discuss Reduction of Quadratic Forms to Canonical Form using Orthogonal Transformation with solved problems.