Matrix Calculator

Type a matrix. You get its determinant, inverse or eigenvalues — or a cross product for two 3-number vectors — with the working shown.

Example — Determinant of [1, 2; 3, 4]−2

How we got it — the example, step by step

  1. For a 2×2 matrix, det = a×d − b×c.
  2. = 1 × 4 − 2 × 3 = 4 − 6 = −2.

Questions people also ask

How are matrices typed in?
One row per line, or rows separated by semicolons, numbers separated by spaces: 1 2; 3 4 is the matrix with rows (1, 2) and (3, 4).

What if the matrix has no inverse?
That happens exactly when its determinant is 0. The calculator checks the determinant first and tells you, instead of printing nonsense.

Related calculators

Every answer on this page is computed, not typed from memory — the check under each result runs the calculation backwards. Figures are rounded only where the page says so. Last updated: October 13, 2026 · Clirto — every answer free, every step shown.

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