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LU Decomposition Method in Matrix #LUDecomposition #linearalgebra

In this video, we demonstrate how to perform LU Decomposition of a 3x3 matrix without pivoting. LU decomposition is a fundamental linear algebra technique used to solve systems of linear equations, invert matrices, and perform numerical analysis.

We break the matrix into a lower triangular matrix (L) and an upper triangular matrix (U) by following a clear, step-by-step approach.
By the end of this tutorial, you will understand how to:
✔️ Write L and U matrices
✔️ Perform decomposition manually
✔️ Verify LU by multiplication
✔️ Apply the method in other problems

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