Math & Statistics
Matrix Inversion Calculator
Invert a 3x3 matrix using the adjugate and determinant.
Your inputs
Change any value to update the result instantly.
Determinant
1
Inverse[1,1]
1
Inverse[1,2]
-0
Inverse[1,3]
0
Inverse[2,1]
-0
Inverse[2,2]
1
Inverse[2,3]
-0
Inverse[3,1]
0
Inverse[3,2]
-0
Inverse[3,3]
1
Formula and working
A⁻¹ = adj(A) ÷ det(A)
- 1
Collect the inputs
A row 1 col 1 = 1; A row 1 col 2 = 0; A row 1 col 3 = 0; A row 2 col 1 = 0; A row 2 col 2 = 1; A row 2 col 3 = 0; A row 3 col 1 = 0; A row 3 col 2 = 0; A row 3 col 3 = 1
- 2
Apply the formula
A⁻¹ = adj(A) ÷ det(A)
- 3
Result
Determinant = 1
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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