2x2 square matrix *A* meets below criteria.

- (1) \(A^3=I\)
- (2)
*\(A-I\)*is invertible matrix.

The sum of all component in matrix \((A-I)^{ 60 }\) is \({ 2 }^{ a }\times { 3 }^{ b }\). Evaluate a+b. (* a and b is natural number, and I is 2x2 square identity matrix*)

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