I don't see how you got that. Starting from the matrix above that, multiply the 2nd row by -1 and add it to the first row. See how to continue from there?hoffmann said:[ a b ; c d | 1 0 ; 0 1 ] -->
[ a b ; (ac/c) (ad/c) | 1 0 ; 0 (a/c) ] -->
[ a b ; 0 ((ad/c)/c) -b | -1 (a/c) ] -->
A 2x2 matrix is a square matrix with two rows and two columns. It is represented by the following general form: [ [a, b], [c, d] ]
The inverse of a matrix is a matrix that, when multiplied by the original matrix, results in the identity matrix. In other words, the inverse undoes the original matrix's transformation.
Finding the inverse of a matrix is important in solving systems of linear equations, performing matrix operations, and in many other applications in fields such as engineering, physics, and computer science.
The process for finding the inverse of a 2x2 matrix involves swapping the main diagonal elements, changing the sign of the off-diagonal elements, and dividing each element by the determinant of the original matrix. This can be represented by the following formula: [ [d, -b], [-c, a] / determinant ]
Some properties of the inverse of a matrix include: the inverse of the inverse is the original matrix, the inverse of a product of matrices is equal to the product of the inverses in reverse order, and the inverse of a diagonal matrix is a diagonal matrix with the reciprocals of the original diagonal elements.