ANY help or TIPS would be GREATLY Appriciated!!

Using the following data

Write down the system of linear equations witha1+.......a11 as unknowns such thatf(xj)=yj, 1<=j <=11. Please write all powers asz^b.

Solution: ???

Would it be written as

0.540=a1+a2(0.467)+ a3(0.467)2+a4 (0.467)3+a5(0.467)4+ a6(0.467)5+a7 (0.467)6+a8(0.467)7+ a9(0.467)8+a10 (0.467)9+a11 (0.467)10 ???

How would you use this then to make coefficient matrixTwhereTstands for power ten?

Thanks in advance