Three row operations
Swap two rows, multiply a row by a number that is not 0, or add a multiple of one row to another. None of them changes the solutions, so you can use them as often as you like.
Matrix Calculator 🔢
Find the determinant and inverse of a 2×2 or 3×3 matrix, multiply matrices, and solve systems of equations — with each row operation and the matrix after it, in exact fractions.
Row operations shown
Exact fractions
2×2 and 3×3
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Matrix A
Multiply A × B
A
B
Solve a system of equations
Whole numbers, decimals and fractions such as 3/4 or −1/2 all work. The answers stay as exact fractions.
Result
Working
Good to know
det = 0 means no inverse
Work out the determinant first. If it is 0, the matrix has no inverse, and a system with that matrix has either no solution or infinitely many.
Nothing leaves your device
Everything is worked out in your browser and nothing is saved. The address bar keeps the numbers, so a link opens the same working.
Tool created by
លោក ណាត ប៊ុនឆ័យ · Mr. Nat Bunchhai
Alpha Academy Cambodia
Matrices take practice to feel easy.
Our tutors guide Grade 11 and Grade 12 students through determinants, inverses and systems until every step makes sense.