An ill-conditioned matrix is a matrix that ?almost doesn?t have? an inverse. A set of examples of
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An ill-conditioned matrix is a matrix that ?almost doesn?t have? an inverse. A set of examples of such matrices are Hilbert matrices. An n-dimensional Hilbert matrix looks like:
a. Calculate the inverses of H2, H3, and H8.
b. Consider the following system of equations:
Find the answers to these problems by inspection.
c. Now solve Hn*X = Y for n = 2, 8, 14. How do you explain the differences?
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a To calculate the inverses of the Hilbert matrices H2 H3 and H8 we simply take the inverse of each matrix The inverse of a matrix A is denoted as A1 ...View the full answer
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