Matrix Calculator

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

Multiply

Determinant

Inverse

2×2 Matrix

Enter 4 elements (row by row):

Result

Matrix Operations

Determinant of 2×2 Matrix

|A| = ad − bc for matrix [[a,b],[c,d]]

Inverse of 2×2 Matrix

A⁻¹ = (1/det) × [[d,-b],[-c,a]]

Matrix Multiplication

Multiply corresponding elements of rows from the first matrix with columns from the second matrix and sum.

Example

Matrix [[2,3],[1,4]]:

  • Determinant: 2×4 − 3×1 = 5
  • Inverse: (1/5) × [[4,-3],[-1,2]] = [[0.8,-0.6],[-0.2,0.4]]