Determinant Calculator

Determinant Calculator is a free online tool that computes determinants for matrices ranging from 2×2 to 10×10. It accepts integers, decimals, fractions, and scientific notation as inputs and produces exact fractional results as well as decimal answers. The tool provides step-by-step solutions, including expansion across rows using cofactor expansion with signed minors, and shows intermediate arithmetic. All calculations run locally in the user's browser, and no sign-up is required.

The calculator switches methods based on matrix size to keep explanations recognizable while maintaining exact arithmetic. For 2×2 matrices, it uses the direct diagonal formula ad − bc. For 3×3 matrices, it employs cofactor expansion with alternating + − + signs shown explicitly. Larger numeric matrices from 4×4 through 10×10 use exact Gaussian elimination instead of recursive cofactor expansion.

Users can enter integers, decimals, fractions, and scientific notation into every cell of the matrix. The interface allows pasting matrices directly and uses arrow keys to move between cells. Enter advances to the next cell, and the system supports variables in a separate symbolic workspace alongside numeric calculations.

The site offers example matrices, a guide section, and shared matrix links that embed values in the URL. Users can calculate determinants for classic 2×2, fractions 3×3 cofactor, singular matrix, and 4×4 challenge examples directly on the platform.

The calculator displays exact rational arithmetic using BigInt fractions to preserve every digit instead of hiding floating-point drift. A separate decimal approximation is labeled separately so users can verify the result without relying on binary floating-point approximations.

The calculator provides step-by-step solutions that expand each operation to inspect the arithmetic and intermediate matrix. It shows the original matrix, the expansion across the first row, the multiplication by signed 2×2 minors, and the final computed determinant.

Shared links can include matrix values in the URL, so users should avoid entering sensitive information when generating a shareable link. The site also offers a Casio guide and a matrix workspace for additional functionality.

The calculator is designed for students, teachers, engineers, and anyone needing to check a matrix determinant. It does not require an account, subscription, payment, or software installation to use.

The site is funded by Google AdSense, which helps cover hosting and continued maintenance. The Privacy Policy explains analytics, advertising, cookies, and shared URLs, while the Terms of Service explain acceptable use and accuracy boundaries.

The calculator is not affiliated with or endorsed by Casio, Google, or any university. Product names and trademarks belong to their respective owners, and links to manufacturer documentation are provided as references.

The official contact address for the website is support@determinantcalculator.org. This mailbox is active and monitored for questions about calculation, corrections, accessibility, privacy, or site feedback.

The Trustburn rating is 3.8 out of 5 from 4 reviews. The site has been operating since at least 2026, with the last update to the About page occurring on 2026-08-01.

The calculator can be used for various practicalities such as verifying exam answers, checking engineering decisions, or understanding geometric transformations like area and volume scaling. It is suitable for anyone needing to compute determinants without installing software.