Show how to use the condition number of a matrix A to estimate the accuracy of a computed solution of Ax = b. If the entries of A and b are accurate to about r significant digits and if the condition number of A is approximately 10k (with k a positive integer), then the computed solution of Ax = b should usually be accurate to at least r - k significant digits.
Solve an equation Ax = b for a suitable b to find the last column of the inverse of the fifth-order Hilbert matrix
How many digits in each entry of x do you expect to be correct? Explain