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A detailed solution to the two problems of reciprocal (5) and (6) in linear algebra.
The topic is not clearly written, so it's better to write it as follows. The economic mathematics team will help you answer, please comment in time. thank you

135…(2n- 1)246…(2n)

From front to back: 3 and below 2 constitute the reverse order,1; 5 and below 24 constitute the reverse order, with 2; ..., (2n- 1) and the following 246...(2n-2) all constitute the reverse order, with n-1; So the inverse number is1+2+…+(n-1) = n (n-1)/2.

246…(2n) 135…(2n- 1)

From beginning to end: 2 and below 1 constitute the reverse order, with1; 4 and below 13 constitute the reverse order, and there are two; ..., (2n) and below 135...(2n- 1) all constitute reverse order, and there are n; So the inverse number is 1+2+…+n=n(n+ 1)/2.