Matrix Power Calculator
Result
Calculated result
[[8, 5], [5, 3]]
Based on the values entered.
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Matrix Power Calculator — free online calculator.
Formula
Raise a 2×2 matrix to a nonnegative integer power by repeated squaring.
- Matrix Power Calculator calculates its result from a11, a12, a21, a22, Exponent. It uses the formula Raise a 2×2 matrix to a nonnegative integer power by repeated squaring.. Change any input to recalculate the result instantly.
- The main inputs are a11, a12, a21, a22, Exponent. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Matrix Power
Inputs
- a11: 1
- a12: 1
- a21: 1
- a22: 0
- Exponent: 5
Using a11 = 1, a12 = 1, a21 = 1, a22 = 0, Exponent = 5, the calculated result is [[8, 5], [5, 3]].
Sample result: Calculating…
Frequently asked questions
What does the Matrix Power calculate?
Matrix Power Calculator — free online calculator.
Which values should I enter?
Enter a11, a12, a21, a22, Exponent using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Raise a 2×2 matrix to a nonnegative integer power by repeated squaring..
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.