Matrix Calculator

Perform matrix operations, calculate determinants, find inverse matrices, and solve linear equations

Matrix A: ×

Matrix B: ×

Select an operation and enter matrix values to see results.

Matrices must have the same dimensions. Add/subtract corresponding elements.

[a + b, c + d; e + f, g + h]

Number of columns in A must equal number of rows in B.

C[i,j] = Σ(A[i,k] × B[k,j])

Only defined for square matrices. Measures matrix "volume".

det(2×2) = ad - bc

Only exists if determinant ≠ 0. A × A^-1 = I

A^-1 = (1/det(A)) × adj(A)

Flip matrix over its diagonal. Rows become columns.

A^T[i,j] = A[j,i]

Special scalars λ where Av = λv for some vector v.

det(A - λI) = 0