Show that x₁ + 3x₂ = 4, 2x₁ + 5x₂ = 7 is Ill‑Conditioned | VTU Engineering Maths | SK Academy
In this video, we solve a very important exam problem from VTU Engineering Mathematics (M1/M2) – showing that the given system of equations is ill-conditioned. Problem: x_1 + 3x_2 = 4 2x_1 + 5x_2 = 7 We’ll cover: ✅ What is a condition number? ✅ How to check ill-conditioning using determinant & matrix norm ✅ Why small changes in coefficients cause large errors in solution ✅ Previous year question – VTU, K-SET, CSIR NET, B.E/B.Tech This topic is highly scoring and frequently asked in: · VTU Engineering Mathematics (M1/M2/M3) · K-SET / CSIR NET Mathematical Sciences · GATE, IIT JAM, B.Sc Maths 🔔 Subscribe to SK Academy of Mathematics for more VTU & competitive exam maths tricks. 📌 Watch next: Condition number formula & solved examples --- Hashtags (Most searched & trending 2026) ``` #IllConditionedSystem #VTUEngineeringMaths #SKAcademyOfMathematics #ConditionNumber #VTUM1 #VTUM2 #CSIRNETMaths #KSETMaths #EngineeringMathematics #NumericalAnalysis #LinearAlgebraProblems #BTechMaths #VTUExam2026 #TrendingMaths2026 #MostViewedMaths #GATE2026Maths #IITJAMMaths #MatrixConditionNumber ``` ---

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