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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