I am given homework like this, calculate the Matrix $$ \begin{bmatrix}x+1 &x&x&...&x\\x&x+2&x&...&x\\x&x&x+3&...&x\\...&...&...&...&...\\x&x&x&...&x+n\end{bmatrix} $$
I tried to change it into triangular matrices but the best result I get is:
$$ \begin{bmatrix}x+1 &x&x&...&x\\-1&2&0&...&0\\-1&0&3&...&0\\...&...&...&...&...\\-1&0&0&...&n\end{bmatrix} $$
I wonder if I am on the right track since there seems to be no way to advanced.
Any hint given is appreciate.