Question: calculate,express,input,output,the determinant

`<,>`(`<|>`(x+1, x, x, `...`, x), `<|>`(x, x+2, x, `...`, x), `<|>`(x, x, x+3, `...`, x), `<|>`(x, x, x, `...`, x+n))

but  ellipse between rows can't be added like the same way?

Matrix(5, 5, {(1, 1) = x+1, (1, 2) = x, (1, 3) = x, (1, 4) = `...`, (1, 5) = x, (2, 1) = x, (2, 2) = x+2, (2, 3) = x, (2, 4) = `...`, (2, 5) = x, (3, 1) = x, (3, 2) = x, (3, 3) = x+3, (3, 4) = `...`, (3, 5) = x, (4, 1) = `:`, (4, 2) = `:`, (4, 3) = `...`, (4, 4) = `...`, (4, 5) = `:`, (5, 1) = x, (5, 2) = x, (5, 3) = x, (5, 4) = `...`, (5, 5) = x+n})

`:` then `` will not been omitted like `...`,and I don't know ho to input theree points vertically,like:

Even I wanna get determinant of the matrix mannully,step by step,it's also hard to write.

And say nothing of there are some special methods in caltulating that,maybe the computer system can't understand infinity well,  

:(