Question: Suppose that multiplying two general n by n matrices takes 3 seconds on a given computer, if n = 1000. Estimate how much time it

Suppose that multiplying two general n by n matrices takes 3

Suppose that multiplying two general n by n matrices takes 3 seconds on a given computer, if n = 1000. Estimate how much time it will take to compute the LU-decomposition of such a matrix. Suppose that solving a general system of linear equations of dimension 1000 takes 10 seconds on a given computer. Estimate how much time it will take to solve a tridiagonal linear system of dimension 10^6 on that computer. How many divisions are needed for LU-decomposition of an n by n tridiagonal matrix (not counting multiplications and additions)? How many divisions are needed for LU-decomposition of an n by n general matrix (not counting multiplications and additions)

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