Deadlock Detection Algorithm

once again, i don't know if this is the right site to post up questions like this, but this site has been incredibly helpful in the past, so there's no hurt in trying...

i have come upon another huge brick wall. i'm searching online and looking in my books, but can't seem to find an answer for this question.....

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Apply the deadlock detection algorithm given the following data and show the results...

Available Vector = (2 5 7 0 2)

Request = 2 0 5 1 0 Allocated = 0 0 4 0 0
................3 1 1 0 1................. 2 0 0 1 1
................0 3 0 0 0..................0 1 2 0 1
................1 0 3 1 1..................3 0 0 1 0
................4 1 1 0 1..................3 2 1 2 0
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how do i apply this so called deadlock detection algorithm...

 

They should have covered this in the class.