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LU Decomposition Method | Solve: 2x–6y+8z=24, 5x+4y–3z=2, 3x+y+2z=16 | VTU M1/M2

Welcome to SK Academy of Mathematics! 🧠✍️

In this video, we solve the following system of linear equations using the LU-Decomposition Method:

\begin{cases}
2x - 6y + 8z = 24 \\
5x + 4y - 3z = 2 \\
3x + y + 2z = 16
\end{cases}

📌 Important for:
✅ VTU Engineering Mathematics (M1 / M2 / M3)
✅ B.E / B.Tech (All branches)
✅ K-SET, CSIR NET, GATE
✅ University & semester exams

📘 What you'll learn step-by-step:

· Decomposing coefficient matrix into L (Lower) and U (Upper)
· Solving Ly = b using forward substitution
· Solving Ux = y using backward substitution
· Verifying the final solution

🎯 Why LU Decomposition is important for exams:
Faster than Gauss elimination when solving multiple systems with the same coefficient matrix.

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Numerical Methods, Matrix Algebra, Laplace Transforms, Fourier Series, Probability, and more — all exam-oriented.

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Видео LU Decomposition Method | Solve: 2x–6y+8z=24, 5x+4y–3z=2, 3x+y+2z=16 | VTU M1/M2 канала SK-Academy Of Mathematics
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