Inverse of a 2 × 2 Matrix Worksheets

How to solve it: a worked example

Find the inverse, or say that it doesn't exist.

1. StartA = −105−1A⁻¹ =
2. The determinantdet A = (−1)(−1) − (0)(5) = 1
3. Swap a and d, negate b and c, divide by the determinant11−10−5−1 = −10−5−1
4. Answer−10−5−1

Common mistakes to watch for

• Swapping b and c instead of a and d.
• Forgetting to divide by the determinant.
• Giving an inverse when the determinant is 0.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.