# Matrix

Algebra Level pending

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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