What value, calculated as ||A|| · ||A⁻¹||, characterizes how much the output of a system can change for a small change in input?
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Condition number
A high condition number indicates an 'ill-conditioned' matrix, where small numerical errors (like rounding) can lead to large errors in the solution of linear equations.
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- What mathematical value is defined as the product of the norm of a matrix and the norm of its inverse?