Consider square matrices in which the entries are consecutive integers. An example of such a matrix is

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Consider square matrices in which the entries are consecutive integers. An example of such a matrix is

4 5 6. 8. 12 10 11

a) Use the matrix capabilities of a graphing utility to find the determinants of four matrices of this type. Make a conjecture based on the results.
(b) Verify your conjecture.

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