# Three processes P1, P2, and P3 are running in a system with 3 insta...

## Transcribed Text

Three processes P1, P2, and P3 are running in a system with 3 instances of a resource R1, 2 instances of a resource R2, and 2 instances of a resource R3. At a given time, the allocation matrix is 1 1 11 A= 0 1 0 (1 0 0. 2 2 1 Assume that maximum matrix is M=| 1 1 1 3 1 0. 1. Is this a safe state? 2. While in this state, a new process P4 is created which requires at most 2 instances of R1 and one instance of R2. This process initially requests one instance of R1 to be allocated to it. Using the Banker's algorithm, determine whether this request can be granted or must be refused.

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The vector of available resources is equal with the total number of each resource minus the already allocated resources (for all 3 processes).

Since the allocated matrix is A => the allocation vector is (R1 R2 R3)= (2 2 1).

So the availability vector for (R1 R2 R3) = (3 2 2) – (2 2 1) = (1 0 1)

The needs matrix is equal with M – A...

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