Q:

# What is the inverse of 2x2 matrix?

A:

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.

## Keep Learning

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.

Sources:

## Related Questions

• A: A number when multiplied by its multiplicative inverse, or its reciprocal, yields a product of one, which is known as the multiplicative identity of a numb... Full Answer >
Filed Under:
• A: A unitary matrix is a matrix that when multiplied by its complex conjugate transpose matrix, equals the identity matrix. This implies that the complex conj... Full Answer >
Filed Under:
• A: When a matrix is multiplied by its inverse, the resulting product is the identity matrix. Thus, the inverse of a matrix can be found by dividing the identi... Full Answer >
Filed Under:
• A: The multiplicative inverse of a number is the number by which it can be multiplied to yield 1. It is also known as the reciprocal of a number.... Full Answer >
Filed Under:
PEOPLE SEARCH FOR