Aⁿ Matrix Power Calculator
Matrix Power Calculator
Compute Aⁿ for any integer n. Supports A⁰ = I, positive powers by repeated multiplication, and negative powers via A⁻¹.
Matrix Power Aⁿ
Compute matrix raised to any integer power
✓ Any Integer✓ Negative Powers✓ Free⚡ Loading SymPy Engine…
Matrix A
Quick Examples
Matrix Powers
- A⁰ = I (identity matrix, any invertible A)
- A^n = A × A × ... × A (n times) for n > 0
- A^(−n) = (A⁻¹)^n for n > 0 (requires A invertible)
- (AB)^n ≠ A^n B^n in general (only when AB = BA)
- det(A^n) = det(A)^n
For diagonal matrices D, D^n is computed by raising each diagonal entry to the nth power — very efficient.