Relativity: Special and General — Part 14 Tensor Coordinate Transformation Laws (2)

This video is Part 14 of the series "Relativity: Special and General." In this video (Part 2 of Tensor Coordinate Transformation Laws), we cover: Invariance of the vector as a whole Why the components and basis vectors transform in opposite ways Transformation laws for higher-rank tensors Invariance of the metric tensor product g_μν g^νλ = δ_μ^λ Proof that tensor equations hold in all coordinate systems Part 13 (Part 1):    • Relativity: Special and General — Part 13 ...   In this series, we derive everything from "why?" — not just the equations, but the physical and mathematical reasons behind them.