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MATRICES FULL REVISION II NORMAL FORM II RANK II EIGENVALUE & EIGENVECTOR II AKTU + BEU PATNA Struggling with the Matrices chapter? This final, complete roadmap breaks down the toughest, most high-weightage topics you need to pass B.Tech Math-I: Rank, Normal Form, Eigenvalues, Eigenvectors, and the Cayley-Hamilton Theorem. We solve all important Previous Year Questions (PYQ) for AKTU and BEU Patna. Save this video and master every Matrices question in your upcoming exam! 00:00 Introduction to Matrices & What you will learn 00:55 What is the RANK of a matrix? (Definition using Non-Zero Minor) 03:29 What is the NORMAL FORM (Canonical Form) of a matrix? 05:03 Solved Example: How to convert a matrix to Normal Form & find its Rank? 11:21 Why do we use EIGENVALUES and EIGENVECTORS? (Conceptual Introduction) 13:41 How to derive the CHARACTERISTIC EQUATION? 17:29 Solved Example: How to calculate EIGENVALUES and EIGENVECTORS of a 2x2 matrix? 25:07 Solved Example: Finding Eigenvalues & Vectors for a 3x3 matrix (Most Repeated Question) 29:43 What is CAYLEY-HAMILTON THEOREM and how to verify it? 33:01 Solved Example: How to use Cayley-Hamilton to find the Inverse (A⁻¹)? #AKTU #BEU #MathsForEngineers #Matrices #EngineeringMathematics #PYQ #FinalRevision अगला टॉपिक: Rank of a Matrix और Normal Form पर जल्द ही वीडियो आएगा। #Matrices #LinearAlgebra #AKTU #BEUPatna #EngineeringMathematics #Revision #EngineeringMathematics #BTechMaths #ExamStrategy2025 #RGSClasses #EngineeringMaths1 #Sem1Exam #Matrices #Calculus #StudyRoadmap #EngineeringPhysics #BTech1stYear #ExamStrategy2025 #RGSClasses #EngineeringPhysics2 #Sem1Exam #StudyRoadmap #PhysicsImportantTopics FOR NOTES COURSE : https://classplusapp.com/w/rgs-classe... Join this channel to get access to perks: / @rgsclassesessential MATHEMATICS I : • Плейлист ELECTRICAL ENGINEERING: • Basic Electrical Engineering ENGINEERING PHYSICS : • ENGINEERING PHYSICS (QUANTUM+WAVE OPTICS+E... ELECTRONICS ENGINEERING : • BASIC ELECTRONICS BEE (BTECH 1 YEAR) DEEP LEARNING: • DEEP Learning /MACHINE LEARNING/ DATA SCIE... https://play.google.com/store/apps/de... ************************************************************************************* download OUR app RGS classes on playstore via link visit course https://iygmp.on-app.in/app/oc/332578... / rgsclasses / classesrgs / rgsclasses