# Find the Inverse of the Matrix [[3,2],[8,5]]

The inverse of a matrix can be found using the formula where is the determinant of .
If then
The determinant of is .
These are both valid notations for the determinant of a matrix.
The determinant of a matrix can be found using the formula .
Simplify the determinant.
Simplify each term.
Multiply by .
Multiply by .
Subtract from .
Substitute the known values into the formula for the inverse of a matrix.
Simplify each element of the matrix .
Rearrange .
Rearrange .
Multiply by each element of the matrix.
Simplify each element of the matrix .
Rearrange .
Rearrange .
Rearrange .
Rearrange .
Find the Inverse of the Matrix [[3,2],[8,5]]

Scroll to top