What is the inverse of 2x2 matrix?

The inverse of a 2x2 matrix is the matrix that results in the identity matrix when multiplied by the first matrix. The values for the inverse of a 2x2 matrix can be calculated by multiplying each value in the original matrix by one divided by the determinant.

The determinant of a 2x2 matrix is the product of the upper-right number and the lower-left number subtracted from the product of the top-left number and the lower-right number. The upper-right number and the lower-left number in the original matrix are multiplied by negative one. The identity matrix for a 2x2 matrix has ones in the upper-left and lower-right and zeros in the remaining spots.