Explain how matrix exponentiation can be utilized to compute Fibonacci numbers in logarithmic time complexity.
- By representing the problem in terms of matrix exponentiation, Fibonacci numbers can be computed in logarithmic time complexity.
- Matrix exponentiation can be used to compute Fibonacci numbers in linear time complexity.
- Matrix exponentiation has no relevance to computing Fibonacci numbers.
- Matrix exponentiation is only applicable to square matrices.
Matrix exponentiation offers an efficient way to compute Fibonacci numbers in logarithmic time complexity. By expressing the problem as a matrix multiplication and leveraging exponentiation properties, the computation becomes more efficient compared to traditional recursive approaches.
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