Matrix Calculator

Perform various matrix operations including addition, multiplication, determinant, inverse, and more.

Rows: Columns:

Rows: Columns:

Select an operation above to see the result here.

Understanding Matrix Operations

Matrices must have the same dimensions. Operations are performed element by element.

Number of columns in first matrix must equal number of rows in second matrix. Result dimensions will be (m×p) for (m×n) × (n×p) matrices.

Only square matrices have determinants. The determinant is a special number that can tell us important information about the matrix.

Only square matrices with non-zero determinant have inverses. A⁻¹A = AA⁻¹ = I (identity matrix).