Tensor Product Calculator
With the tensor product calculator (Kronecker product calculator) you can discover the properties of matrix tensor product.
Result size2×22×2 times 2×2
AB = BA?Nomatrix multiplication does not generally commute
Frobenius norm of AB55.72252686
A × B
| 25 | 36 |
| 20 | 28 |
B × A
| 8 | 19 |
| 20 | 45 |
The method
entry (i, j) is row i of A dotted with column j of B
Order matters
Matrix multiplication is not commutative: AB and BA are usually different, and one may not even be defined when the other is. It represents composing transformations, and rotating-then-stretching is genuinely not the same as stretching-then-rotating.