det. and inverse

2012-05-17 3:59 pm
Given a matrix A=[a(i,j)], a(i,j)=cos[i(2j-1)π/(2n)], 0<= i, j < n,
(1) Show that A is invertible.
(2) Find det(A)
(3) Find the inverse matrix of A.
更新1:

A=[a(i,j)], a(i,j)=cos[(i-1)(2j-1)π/(2n)], 1<= i, j <= n,

回答 (1)



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