Since the determinant is 10, the inverse exists. Next, swap the elements in the top-left and bottom-right corners.
Matrix 2x2 Inverse Formula Example Explained
The Formula for the Inverse of a 2x2 Matrix The standard formula for finding the inverse is remarkably efficient. First, calculate the determinant: (4 * 6) - (7 * 2) = 24 - 14 = 10.
This special matrix, denoted as I , has ones on its main diagonal and zeros elsewhere. Step-by-Step Calculation To apply the formula effectively, follow these logical steps.
Matrix 2x2 Inverse Formula Example Explained
This gives us [[6, -7], [-2, 4]]. The defining property of an inverse matrix A⁻¹ is that when it multiplies the original matrix A , the result is the identity matrix.
More About Find inverse of matrix 2x2
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