For any square matrix 4 of order n, a minor is defined as the determinant of a
submatrix obtained by deleting some set of rows and some set of columns of it. A
minor is said to be principal minor if the indices of deleted rows are the same as the
indices of deleted
columns. The characteristic equation of A is given by
det (lamda I - A) =lamda^n - S1 lamda^n-1 + S2 lamda^n-2 -....+(-1)^nSn =0..............(1)
where S = sum of principal minors of order k
Use (1) to find the characteristic equation of matrix A = [aij]4×4
where aij = {1, for |i-j| = 1
0, otherwise
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