The first line of the determinant 123 n. The second line 234 N-1,1 the third line 345 ^ 1,2 the nth line is n, 1,2,3 How do n-1 calculate this determinant

The first line of the determinant 123 n. The second line 234 N-1,1 the third line 345 ^ 1,2 the nth line is n, 1,2,3 How do n-1 calculate this determinant

1 2 3…… n-1 n2 3 4…… n 13 4 5…… 1 2………………… n 1 2…… n-2 n-1 r1+r2+r3+… +RN: n (n + 1) / 2 n (n + 1) / 2 n (n + 1) / 2 n (n + 1) / 2 n(n+1)/2 n(n+1)/22 3 4 …… n 13 4 5 …… 1 2… … … … … … ...

Calculate the value of determinant: first line: 1, - 3,0,6 second line: 2,1, - 5,1 third line: 0,2, - 1,2 fourth line: 0,7, - 7,12

Two rows - (one row * 2) = 0 / 7 / - 5 / - 11
With a11 as the base, it becomes three rows and three columns
【7/-5/-11】
【2/-1/2】
【7/-7/12】
(two lines * 5) - (one line) = 3 / 0 / 21
(2 rows * 7) - (3 rows) = 7 / 0 / 2
With A22 as the base, it becomes two rows and two columns
【3/21】
【7/2】
Results = 3 * 2-21 * 7 = - 141

The first row is 56000, the second row is 15600, the third row is 01560, the fourth row is 00156, and the fifth row is 00015

=5*(5-6*/5)*[5-6/[(5-6*/5)]*{5-6/[5-6/[(5-6*/5)]}*{5-6/{5-6/[5-6/[(5-6*/5)]}
=5*(19/5)*(65/19)*(211/65)*(665/211)
=665