Skew-Symmetric Bilinear Forms & Groups Preserving Forms | Hoffman Linear Algebra (10.3–10.4)

📘 Hoffman & Kunze Linear Algebra – Sections 10.3 & 10.4

In this lecture, we continue the study of bilinear forms with symmetry and transformation groups:

👉 Skew-Symmetric Bilinear Forms
👉 Groups Preserving Bilinear Forms

✨ Topics Covered:
Definition of Skew-Symmetric Bilinear Forms
Properties of Alternating Forms
Matrix Representation of Skew-Symmetric Forms
Canonical Forms of Skew-Symmetric Matrices
Groups Preserving Bilinear Forms
Orthogonal and Symplectic Groups (introduction)
Key theorems and geometric intuition
🎯 This video is useful for:
IIT JAM Mathematics
TIFR / NBHM preparation
GATE Mathematics
BSc / MSc Mathematics students

📌 This topic is crucial for:
➡ Advanced linear algebra
➡ Geometry and symmetry
➡ Group representations and physics applications

Видео Skew-Symmetric Bilinear Forms & Groups Preserving Forms | Hoffman Linear Algebra (10.3–10.4) канала Maths Adda