Matrix determinant and inverse calculator

Enter your values. The answer and the full worked solution update as you type.

Result

Determinant18

Inverse matrix
0.6111 −0.2222 0.05556
−0.2222 0.4444 −0.1111
0.05556 −0.1111 0.2778

Step-by-step solution

Determinant

expand along the first row: det = 18

Inverse

A⁻¹ = adj(A)/det(A), shown in the table.

Key formulas

2×2 determinant: det = ad − bc
2×2 inverse: A⁻¹ = (1/det)·[d −b; −c a]
Cramer’s rule: x_i = det(A_i)/det(A)

Practise Matrices & determinants

A calculator gives the answer. In the exam you need the method: practise it with new problems, hints and worked solutions.

Practise Matrices & determinants for free Practise Matrices & determinants now Worked examples

</> Embed

Free for teachers and schools: paste this code into your course page, LMS or website. Students can use the calculator and its worked solution without an account.

<iframe src="https://examproblems.com/embed/matrix-determinant-calculator" title="Matrix determinant and inverse calculator" width="100%" height="760" style="border:1px solid #ddd;border-radius:10px;max-width:820px" loading="lazy"></iframe>
<p style="font-size:13px">Matrix determinant and inverse calculator by <a href="https://examproblems.com/calculators/matrix-determinant-calculator">ExamProblems</a></p>

More calculators

Z-score and normal probability calculator Confidence interval calculator Sample size calculator Mean, median and standard deviation calculator Linear regression calculator Chi-square goodness-of-fit calculator Normal distribution calculator Binomial distribution calculator Poisson distribution calculator Permutation and combination calculator (nPr and nCr)