Engineering Mathematics 04 | Cayley Hamilton Theorem and LU Decomposition | GATE - For All Branches

This video, Engineering Mathematics 04, is a crucial session for your GATE and other competitive exam preparation, focusing on two vital topics in Linear Algebra: the Cayley-Hamilton Theorem and LU Decomposition. In this comprehensive lecture, you will first learn the theoretical concepts and quick methods to apply the Cayley-Hamilton Theorem to efficiently find powers of a matrix, a frequent type of question in the GATE exam. Following that, the session provides a detailed, step-by-step guide to LU Decomposition, demonstrating its application in solving systems of linear equations and calculating the inverse of a matrix. 📕 𝐁𝐚𝐭𝐜𝐡/𝐂𝐨𝐮𝐫𝐬𝐞 𝐋𝐢𝐧𝐤𝐬:- GATE GURUKUL Course Link - https://www.geeksforgeeks.org/courses... All courses - https://www.geeksforgeeks.org/courses... GATE Agni Pariksha Batch Link - https://www.geeksforgeeks.org/payment... GATE 2026 CS & IT Test Series Link - https://www.geeksforgeeks.org/courses... GATE 2026 DA Test Series Link - https://www.geeksforgeeks.org/courses... Mission ISRO CSE - https://www.geeksforgeeks.org/courses... Mission ISRO ECE - https://www.geeksforgeeks.org/courses... GATE SPL. Combo Course - CSIT + DA 2026 (Combo course) - https://www.geeksforgeeks.org/courses... (With Placement Prep) - https://www.geeksforgeeks.org/courses... GATE CSE Weekday (2026) - https://www.geeksforgeeks.org/courses... (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... GATE CSE Weekend (2026) - https://www.geeksforgeeks.org/courses... GATE CSIT With Placement Preparation Complete Course (2026) - https://www.geeksforgeeks.org/courses... GATE Rank Booster With Expert - Curated Questions - https://practice.geeksforgeeks.org/co... GATE CSIT With Placement Preparation Complete Course (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... GATE SPL. Combo Course - CSIT + DA (2027) - https://www.geeksforgeeks.org/courses... (2027 + Placement Prep.) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... (2028 + Placement Prep.) - https://www.geeksforgeeks.org/courses... Gate CSE Semester & Placement Preparation (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... For any query visit https://www.geeksforgeeks.org/courses... Or reach us at +91-08069289001 RECOMMENDED CHANNELS FOR YOU: GeeksforGeeks GATE EE/EC/IN -    / @gfg_ec_ee_in   GeeksForGeeks GATE English -    / @geeksforgeeksgateenglish   📚 Stay tuned for more Maha Marathon sessions on all GATE topics! 💬 Don't forget to comment your doubts and feedback! 👉 Subscribe to our channel for more GATE preparation content and hit the 🔔 to never miss an update! 👍 Like | 🔄 Share | 📢 Spread the word #GATE2026 #EngineeringMathematics #CayleyHamiltonTheorem #LUDecomposition #LinearAlgebra #MatrixTheory #GATEPreparation #GATEExam #MathsForGATE #GATEForAllBranches #EngineeringMathematicsBySakshiMam #GATEForEngineeringMathematics #EngineeringMathematicsForGATE #GfG #GfGGATE