▸Determinant = 10: the matrix is invertible.
- The determinant is 10, which is non-zero, so the inverse exists.
- A determinant with absolute value greater than 1 means the inverse matrix will have entries smaller in magnitude than the original.
- For a 2x2 matrix A = [[a, b], [c, d]], the inverse is (1/det) * [[d, -b], [-c, a]]. Swap the main diagonal, negate the off-diagonal, divide by the determinant.
Next stepVerify the result by multiplying A by A⁻¹ - the product should be the identity matrix I (1s on the diagonal, 0s elsewhere).