Matrix Algebra - Solving System of Linear Equations | Mathematics | Types of Solutions | GATE
Автор: ArrowSpace Engineering
Загружено: 2026-01-20
Просмотров: 105
Описание:
In this video, we cover Solving System of Linear Equations using the Matrix Method, a high-weightage topic for GATE Engineering Mathematics.
This lecture includes:
1. Introduction to System of Linear Equations
2. Writing equations in Matrix Form
3. Row Reduction / Echelon Form - Rank of a Matrix
4. Rouché–Capelli Theorem (Important for GATE)
5. Classification of solutions:
✅ Unique Solution (Consistent & Independent System)
♾️ Infinite Solutions (Consistent & Dependent System)
❌ No Solution (Inconsistent System)
6. Solved examples with two variables and three variables
7. Conceptual clarity for GATE, ESE, PSU & University exams
This session is extremely useful for:
🎯 GATE 2025 / 2026 aspirants
🎯 Engineering Mathematics – Linear Algebra
🎯 Concept building + numerical problem solving
📌 Watch till the end for exam tips and rank-based decision methods.
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#GATE #GATE2026 #EngineeringMathematics #LinearAlgebra #MatrixMethod #SystemOfLinearEquations #RankOfMatrix #RoucheCapelliTheorem #GATEMaths #AugmentedMatrix #RowReduction #ESE #PSUExams
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