Dutch Burgerservicenummer (BSN) eleven-test Introduction:
A Dutch BSN (BurgerServiceNummer) is valid when it complies to the following rules:

It only contains digits.
The length should be either 8 or 9 in length.
When the digits are indexed as A through I, the result of the following sum: 9xA + 8xB + 7xC + 6xD + 5xE + 4xF + 3xG + 2xH + -1xI (NOTE the -1 instead of 1!) should be divisible by 11, and should not be 0.

Challenge:
Input: A string or char-array representing the BSN.
Output: A truthy or falsey result whether the input is a valid BSN.
Challenge Rules:

The input format should be a string or char-array. You are not allowed to use an int-array of digits, or a (possibly octal) number. (You are allowed to convert it to an int-array of digits yourself, though, but not directly as argument.)
Despite the restriction on the input above, you can assume all test cases will contain one or more digits ([0-9]+)
Regarding the BSN with length 8 instead of 9, the Dutch Wikipedia states the following: &quot;For the eleven-test and for other practical uses, a leading zero is added to make the number of length 9.&quot; (source)

General rules:

This is code-golf, so shortest answer in bytes wins.
Don't let code-golf languages discourage you from posting answers with non-codegolfing languages. Try to come up with an as short as possible answer for 'any' programming language.
Standard rules apply for your answer, so you are allowed to use STDIN/STDOUT, functions/method with the proper parameters, full programs. Your call.
Default Loopholes are forbidden.
If possible, please add a link with a test for your code.
Also, please add an explanation if necessary.

Test cases:
// Truthy test cases:
111222333
123456782
232262536
010464554
10464554
44016773

// Falsey test cases:
000000000
192837465
247594057
88888888
73
3112223342
000000012
JavaScript (ES6) 57
Input as an array of chars. reduceRight saves the day!
s=&gt;!(i=1,t=s.reduceRight((t,v)=&gt;t-v*++i),!t|t%11|(i|1)-9)

Test


F=
s=&gt;!(i=1,t=s.reduceRight((t,v)=&gt;t-v*++i),!t|t%11|(i|1)-9)


;['111222333','123456782','232262536','010464554','10464554','44016773']
.forEach(t=&gt;{
  var r=F([...t]);console.log(t,r)
})

;['000000000','192837465','247594057','88888888','73','3112223342','3112223342']
.forEach(t=&gt;{
  var r=F([...t]);console.log(t,r)
})