Condition Number of Matrix [1 2 , 2 -2] | VTU M1/M2 Exam Question | SK Academy of Mathematics

📌 In this video: We solve a VTU Engineering Mathematics exam problem: Find the Condition Number of the matrix A = \begin{bmatrix} 1 & 2 \\ 2 & -2 \end{bmatrix} This topic is important for – ✅ VTU M1 / M2 (B.E./B.Tech) ✅ K-SET / CSIR NET ✅ GATE & all university exams 📖 What you’ll learn: · What is Condition Number & why it matters · Formula using Infinity Norm (row sum norm) · Step-by-step: · Compute \|A\|_\infty (max row sum of absolute values) · Find A^{-1} · Compute \|A^{-1}\|_\infty · Final Condition Number \kappa(A) = \|A\|_\infty \cdot \|A^{-1}\|_\infty · Is the matrix well-conditioned or ill-conditioned? 🎯 Why this is important: Condition number tells us error sensitivity in solving linear systems. High value = ill-conditioned = unstable. 📚 Related playlists: Numerical Analysis | Linear Algebra | VTU M1/M2 Important Questions | CSIR NET Short Tricks 🔔 Subscribe to SK Academy of Mathematics for: ✅ Exam-focused tricks ✅ Step-by-step solutions ✅ VTU, GATE, K-SET, CSIR NET coverage 💬 Comment the next matrix you want solved! --- Hashtags (Most Searched & Trending 2026) ``` #ConditionNumber #VTUEngineeringMaths #SKAcademyOfMathematics #VTUM1 #VTUM2 #NumericalAnalysis #LinearAlgebra #CSIRNETMaths #KSETMaths #GATEMaths #MatrixConditionNumber #EngineeringMaths #BETechMaths #VTUExam2026 #MathsTricks #WellConditionedMatrix #IllConditionedMatrix #TrendingMaths2026 #YouTubeSEOMaths ``` Top 10 Hashtags (2026 VTU/Engg focus): 1. #ConditionNumber 2. #VTUEngineeringMaths 3. #SKAcademyOfMathematics 4. #VTUM1 5. #CSIRNETMaths 6. #KSETMaths 7. #NumericalAnalysis 8. #LinearAlgebra 9. #GATEMaths 10. #EngineeringMaths ---