How is the inverse of a 2x2 matrix calculated?

For a matrix [a b; c d], the inverse is 1/(ad − bc) times [d −b; −c a]. If the determinant ad − bc is zero, the matrix has no inverse.

What does the determinant tell me?

The determinant of a 2x2 matrix is ad − bc. A non-zero determinant means the matrix is invertible; a zero determinant means it is singular.

Is any data sent to a server?

No — every calculation runs entirely in your browser. Nothing is uploaded.

2x2 Matrix Calculator

Add, subtract, multiply, and find the determinant or inverse of 2x2 matrices.

2x2 matrix calculator

Work with two-by-two matrices right in your browser: add, subtract, or multiply two matrices, or compute the determinant and inverse of a single matrix.

Pick an operation, fill in the cells, and the answer appears instantly. Nothing is uploaded — all the matrix algebra happens locally on your device.