Show that the system is ILL-CONDITIONED | x+y+z=6, x−y+z=2, 2x+y−z=1 | VTU 2026

📢 *ILL-CONDITIONED System of Equations* – Fully Solved Example Welcome to *SK Academy of Mathematics* – Your trusted channel for VTU Engineering Mathematics, K-SET, CSIR NET, and B.E./B.Tech exams. 📌 *In this video:* We prove that the following system of linear equations is **ill-conditioned**: x + y + z = 6 x − y + z = 2 2x + y − z = 1 ✅ Step-by-step explanation ✅ What does ill-conditioned mean? ✅ How to check using determinant & condition number ✅ VTU M1/M2 2026 most repeated question pattern 📚 *Why is this important?* A small change in coefficients causes a *large change in solution* – exactly what examiners ask in VTU, K-SET & CSIR NET. 🔔 *Subscribe to SK Academy of Mathematics* for: VTU M1/M2/M3 solved papers K-SET & CSIR NET short tricks 2026 exam strategy & trending problems 👍 Like, Share & Comment your doubts below! #IllConditionedSystem #VTUEngineeringMaths #SKAcademyOfMathematics ``` --- 🔹 Hashtags (2026 Most Searched & Trending) Primary (High volume): ``` #IllConditionedSystem #VTUEngineeringMaths #SKAcademyOfMathematics ``` Secondary (Exam-focused 2026): ``` #VTU2026 #KSET2026 #CSIRNET2026 #M1VTU #M2VTU #LinearAlgebra #ConditionNumber #EngineeringMathematics ``` Tertiary (Trending & broad reach): ``` #VTUExamPrep #NumericalAnalysis #MathsTricks #IllConditionedMatrix #TrendingMaths2026 #StudyWithSK ``` Final compact set (copy-paste for YouTube tags): ``` IllConditionedSystem, VTUEngineeringMaths, SKAcademyOfMathematics, VTU2026, KSET2026, CSIRNET2026, M1VTU, M2VTU, LinearAlgebra, ConditionNumber, EngineeringMathematics, VTUExamPrep, NumericalAnalysis, MathsTricks, IllConditionedMatrix, TrendingMaths2026, StudyWithSK ```