Question: Let A be an n x n matrix. Compare the number of operations required to solve n linear systems involving A by Gaussian elimination with

Let A be an n x n matrix. Compare the number of operations required to solve n linear systems involving A by Gaussian elimination with backward substitution and by first inverting A and then multiplying Ax = b by A^-1, for n = 3, 10, 50, and 100. Is it ever advantageous to compute A^-1 for the purpose of solving linear systems?

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