Unlock the power of multilinear algebra with our Tensor Product Calculator. Quickly compute the Kronecker product of any two matrices or vectors online. Perfect for students, researchers, and professionals in fields like quantum computing, signal processing, and machine learning.
Formula:
The tensor product, often referred to as the Kronecker product for matrices, combines two matrices (or vectors) A and B to form a larger matrix. If A is an m x n matrix and B is a p x q matrix, their tensor product A ⊗ B will be an (mp) x (nq) matrix.
Each element aij of matrix A is multiplied by the entire matrix B, creating a block:
A ⊗ B = [[a11B, a12B, ..., a1nB],
[a21B, a22B, ..., a2nB],
[...],
[am1B, am2B, ..., amnB]]