Formula Explanation
A^-1 = 1/(ad-bc) [d -b; -c a]
This calculator applies the formula A^-1 = 1/(ad-bc) [d -b; -c a]. Enter each value with the matching unit, and AZCalculate updates the result instantly.
Scientific
Inverse Matrix Calculator
Use this inverse matrix calculator to calculate calculate inverse entries for a 2x2 matrix.
inverse matrixmatrix inverselinear algebra
Calculator
Calculate instantly
Calculator Inputs
Choose what you want to calculate, enter realistic values, adjust units where shown, and use the scenario section for repeated-use planning.
Input and Formula Breakdown
This calculator applies the formula A^-1 = 1/(ad-bc) [d -b; -c a]. Enter each value with the matching unit, and AZCalculate updates the result instantly.
a
4
b
7
c
2
d
6
Inverse 11
0.6
Inverse 12
-0.7
Inverse 21
-0.2
Inverse 22
0.4
Scenario and Comparison
Current
0.6
Projected
7.2
Adjusted
0.66
Visual Comparison
Current result0.6
Projected usage7.2
Comparison scenario0.66
Sign in to save this calculation and access it later.
Use Cases
- Invert 2x2 matrices
- Solve linear systems
- Study transformations
Step-by-Step Explanation
- Step 1Enter the known values in the calculator fields.
- Step 2Keep the units consistent with the labels shown beside each input.
- Step 3Apply the formula: A^-1 = 1/(ad-bc) [d -b; -c a].
- Step 4Review the primary result and supporting values.
Example calculation
Example inverse matrix calculator
Given
- a: 4
- b: 7
- c: 2
- d: 6
Steps
- Use the values shown above.
- Apply A^-1 = 1/(ad-bc) [d -b; -c a].
Result
The calculator above shows the computed answer instantly from these example values.
Calculator guide
About this Inverse Matrix Calculator
Calculate inverse entries for a 2x2 matrix. This page includes an interactive calculator, concise formula notes, worked examples, FAQs, related calculators, and practical guidance you can revisit whenever needed.
Found something that does not look right?
We work hard to keep every calculator accurate and useful. If you notice a calculation error, missing option, or unclear explanation, please let us know so we can review and correct it promptly.
Calculator usage
See how many people are using this calculator.
Total visits today
0
Live users now
0
Total saved calculations
0
Most active date
2026-06-05
FAQ
Inverse Matrix Calculator FAQs
How does the inverse matrix calculator work?+
It uses A^-1 = 1/(ad-bc) [d -b; -c a] and calculates the result from the values you enter.
Can I copy or print the result?+
Yes. AZCalculate calculator pages include copy, share, and print actions.
Related tools
Related Calculators
Scientific
Calculate determinant, trace, and inverse determinant for a 2x2 matrix.
Scientific
Multiply two 2x2 matrices.
Scientific
Add two 2x2 matrices entry by entry.
Scientific
Calculate the determinant of a 2x2 matrix.
Scientific
Calculate vector magnitude, dot product, and component sums for 3D vectors.
Scientific
Use a keyboard-friendly scientific calculator with trig, logs, powers, constants, and memory.
PopularTrending