Linear Algebra - LU Factorization

ashah99 · Jul 14, 2021

Hello all, I have a problem related to LU Factorization with my work following it. Would anyone be willing to provide feedback on if my work is a correct approach/answer and help if it needs more work? Thanks in advance.

Problem:

Work:

Handwritten linear algebra derivation: Gaussian elimination gives upper triangular U with zeros below the diagonal, then A = LU with L lower triangular, showing l31 = 0 and l32 = 0 from row-column products.

$Handwritten work on lined paper: a lower bidiagonal-style matrix L with stars, x entries and zeros, then steps deriving g_k = c_k and u_k = d_k - l_{k-1} c_{k-1}, ending in a boxed algorithm for u_1 through u_N.$

benorin · Sep 24, 2021

What is this letter,

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Linear Algebra - LU Factorization

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