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Ehan Ghalib

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Tag: Operation Count

Time Taken to Find Rank of a Matrix Using Determinants

Posted 3 years ago by Ehan Ghalib

Question Let be a given matrix with . If the time taken to compute the determinant of a square matrix of size j is , find upper bound on the

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Mathematics for Data Science, Solution Repository Linear Algebra, Mathematics for Data Science, Matrix Problems, MFDS, Operation Count, Rank of a Matrix, Upper Bound Leave a comment

Operation Count for Rank of Matrix Using Gauss Elimination

Posted 3 years ago by Ehan Ghalib

Let be a given matrix with . Find upper bound on the number of additions and multiplications required to determine the rank using the elimination procedure. Basic Understanding of Problem

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Mathematics for Data Science, Solution Repository Gauss Elimination, Linear Algebra, Mathematics for Data Science, Matrix Problems, MFDS, Operation Count, Rank of a Matrix Leave a comment

Operation Count for Power of Matrix

Posted 4 years ago by Ehan Ghalib

Let be a given square matrix. Compute the number of multiplications and additions required to evaluate using: a) the naive method, (28 times) b) etc. Solution Number of multiplications required

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Mathematics for Data Science, Solution Repository Divide & Conquer, Mathematics for Data Science, Matrix Problems, MFDS, Naive Method, Operation Count Leave a comment
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