# Finding Eigenvalues Matrix Index

Let Tn = (tij) denote the nxn matrix such that for each index i, tji = a and tij = b for j not = to i.

Verify that Tn = (a-b)In + bEn where En is the nxn matrix of all 1's. Find the determinate and the eigenvalues of Tn.

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Let Tn = (tij) denote the nxn matrix such that for each index i, tii = a and tij = b for j not = to i.

Verify that Tn = (a-b)In + bEn where En is the nxn matrix of all 1's. Find the determinate and the ...

#### Solution Summary

The determinant and eigenvalues of a matrix index is analyzed.

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