exo7 5612

1

Calculer l’inverse de \(\left( \begin{array}{cccccc} \dbinom{0}{0}&\dbinom{1}{0}&\dbinom{2}{0}&\ldots&\dbinom{n-1}{0}&\dbinom{n}{0}\\ \rule{0mm}{7mm}0&\dbinom{1}{1}&\dbinom{2}{1}&\ldots&\ldots&\dbinom{n}{1}\\ \rule{0mm}{7mm}\vdots&\ddots&\dbinom{2}{2}& & &\vdots\\ & & &\ddots& & \\ \vdots& & &\ddots&\dbinom{n-1}{n-1}&\vdots\\ 0&\ldots& &\ldots&0&\dbinom{n}{n} \end{array} \right)\).