Find the inverse of a 2×2 or 3×3 matrix. Enter the matrix with rows separated by semicolons.
Inverse
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Undoes the matrix.Usage Tip
Not every square matrix is invertible — only those with a non-zero determinant (the non-singular ones).
THE MATH
A times its inverse equals the identity matrix
2×2: swap the diagonal, negate the off-diagonal, divide by the determinant
2×2: swap the diagonal, negate the off-diagonal, divide by the determinant
The inverse of a matrix undoes its transformation, like a reciprocal for numbers.
Only square matrices with a non-zero determinant have an inverse.
Only square matrices with a non-zero determinant have an inverse.
Enter a 2×2 or 3×3 square matrix, rows separated by semicolons.
A matrix with determinant zero is singular and has no inverse.
Multiplying a matrix by its inverse yields the identity.
A matrix with determinant zero is singular and has no inverse.
Multiplying a matrix by its inverse yields the identity.