Advanced Math

Matrix Calculator

Type matrices one row per line. Addition, subtraction, scalar multiplication, matrix multiplication and transpose work up to 5 × 5, with every entry's working shown. Determinants use ad − bc for 2 × 2 and cofactor expansion for 3 × 3. The 2 × 2 inverse is built from the determinant and the adjugate. Dimension mismatches and singular matrices are explained.

InputsA·B, det A, A⁻¹

OperationMatrix AOne row per line, entries separated by spaces.Matrix B

Step-by-step

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Fill in the fields and press Solve. The full method will appear here, one numbered step at a time.

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Related formulas

Explained with worked examples in the Formula Library.

Determinant of a 2 × 2 matrix Determinant of a 3 × 3 matrix Inverse of a 2 × 2 matrix Matrix multiplication