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Find an LU-factorization of the following matrix: 2 6 -2 0 23 9 -3 3 1 -1 -3 1 -3 1

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Final answer:

An LU-factorization involves decomposing a matrix into a lower triangular matrix L and an upper triangular matrix U, but the matrix provided is incomplete, so a specific LU-factorization cannot be provided.

Step-by-step explanation:

The question deals with finding an LU-factorization of a matrix. Determining the LU-factorization involves decomposing a matrix into a lower triangular matrix L and an upper triangular matrix U such that the product of L and U is the original matrix. However, the provided matrix elements do not form a complete matrix, and the specifics of the matrix are unclear due to possible typos or missing information. Therefore, we cannot perform a specific LU-factorization without the correct and complete matrix entries. In general, the LU-factorization process involves using Gaussian elimination to solve a series of systems to find the L and U matrices.

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