Unlock the power of linear algebra with our comprehensive suite of Matrix Calculators. Whether you need to add matrices, subtract matrices, or multiply matrices, our tools provide instant, accurate results. Simplify complex calculations for coursework, research, or engineering applications.
Formula:
Our Matrix Calculator performs fundamental operations like addition, subtraction, and multiplication.
Matrix Addition/Subtraction: C = A ± B
To add or subtract matrices A and B, they must have the same dimensions (rows × columns). Each element of C is the sum/difference of the corresponding elements in A and B:
Cij = Aij ± Bij
Matrix Multiplication: C = A × B
For matrix multiplication A × B, the number of columns in A must equal the number of rows in B. If A is m×n and B is n×p, then C will be m×p. Each element Cij is the dot product of the i-th row of A and the j-th column of B:
Cij = ∑ (Aik × Bkj)
Where i is row index, j is column index, and k iterates from 1 to n (common dimension).