➕ Matrix Addition & Subtraction
Matrix Addition & Subtraction
Add or subtract two matrices of the same dimensions. Shows element-by-element computation. Automatically checks if dimensions match.
Matrix Addition / Subtraction A ± B
Both matrices must have the same dimensions
✓ Add & Subtract✓ Dim Check✓ Free⚡ Loading SymPy Engine…
Matrix A
+
Matrix B
Quick Examples
Matrix Addition & Subtraction
Two matrices can only be added or subtracted if they have the same dimensions (same number of rows and columns):
$$(A \pm B)_{ij} = A_{ij} \pm B_{ij}$$
Properties of Addition
- Commutative: A + B = B + A
- Associative: (A + B) + C = A + (B + C)
- Identity: A + O = A (O = zero matrix)
- Inverse: A + (−A) = O