Let A be a random permutation of [a,b,c,d,e,f,g,h]. Determine the probability that exactly 12 comparisons are required

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Q: a random permutation of [1,2,3,4,5,6,7,8]. Determine the probability that exactly 12 comparisons are…

A: Given   Let A be a random permutation of [1,2,3,4,5,6,7,8]. Determine the probability that…

Q: Let A be a random permutation of [1, 2, 3, 4, 5, 6, 7, 8]. Determine the probability that exactly 12…

A: Merge sort Merge sort is also called divide and conquer algorithm. Input array is divided into two…

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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.