Tensor Product Calculator

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Enter each row on a new line, values separated by spaces or commas. Example: "1 2 / 3 4" for a 2x2 matrix.
Enter each row on a new line, values separated by spaces or commas. Example: "0 5 / 6 7" for a 2x2 matrix.
A ⊗ B (result matrix)
0 5 0 10 6 7 12 14 0 15 0 20 18 21 24 28

The Kronecker product of A and B, displayed row by row.

Result dimensions4 × 4
Frobenius norm57.4456
Estimated rank4
Size of A2 × 2
Size of B2 × 2
Frobenius Norm57.4456
Rank4

A x B computed: 4 × 4 result matrix.

  • A is 2 x 2 and B is 2 x 2, so A x B is 4 x 4 with 16 entries.
  • The Frobenius norm of A x B is 57.4456, the energy of the full product matrix.
  • The rank of A x B equals 4, which is full rank for this matrix.
  • Note: the tensor product is NOT commutative in general. A x B and B x A are the same size only when A and B are square, and even then they typically differ.

Next stepTo verify, multiply A x B by a compatible vector using the mixed-product rule: (A x B)(c x d) = (Ac) x (Bd) when dimensions allow.

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