Using the Karnaugh map (See image), the following minimal function is obtained in the form of product of sums: F (A,B,C,D)= (C' + D') (B' + D) (A ' + B') 1-) Identify all prime implicants and/or essential implicants in terms of the function variables

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LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.