This special matrix, denoted as I , has ones on its main diagonal and zeros elsewhere. Given a matrix A = [[a, b], [c, d]] , the inverse A⁻¹ is calculated as (1 / (ad - bc)) * [[d, -b], [-c, a]].
Hand Calculate Inverse 2x2 Matrix Fast
The term (ad - bc) is the determinant of the matrix. Finally, negate the elements in the top-right and bottom-left positions.
If your work is correct, the product will be the identity matrix [[1, 0], [0, 1]]. Since the determinant is 10, the inverse exists.
Hand Calculate Inverse 2x2 Matrix Fast
Finally, multiply this matrix by (1/10) , resulting in the inverse B⁻¹ = [[0. For our example B × B⁻¹ , the multiplication yields [[(2.
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