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Why AB ≠ BA but Trace(AB) = Trace(BA)

#maths #math #mathematics Why AB ≠ BA but Tr(AB) = Tr (BA) | Matrix Multiplication Explained Lets dive into the fascinating world of matrix algebra to explore why, for matrices A and B, the product AB is generally not equal to BA (non-commutative property), yet the trace of the products (Tr(AB) and Tr(BA)) are always equal. The basic concepts of matrix multiplication. Why matrix multiplication isn't commutative. Explanation of why Tr(AB) = Tr(BA) even when AB ≠ BA. Whether you're a student learning linear algebra or just a math enthusiast, this video will help you understand these key concepts with clear explanations and examples. If you found this video helpful, don't forget to like, share, and subscribe for more math content! #MatrixMultiplication #LinearAlgebra #MathExplained #TraceOfMatrix #MatrixAlgebra Vora Classes App link: play.google.com/store/apps/details?id=com.vora.classes Rebounce batch JEE 2025: https://voraclasses.com/new-courses/4... PYQ Cracker Batch at just ₹9! 3000+ PYQs with Video Solutions https://voraclasses.com/new-courses/4... All India Test Series (VOTS) 24 Tests: 6 Part, 3 Unit, 15 Full https://voraclasses.com/new-courses/2... To get pro in inorganic chemistry join the 45 days hard challenge by Sakshi Mam : Whatsapp channel link: https://whatsapp.com/channel/0029VajC...