The Tensor Product (also known as the Kronecker Product) of two matrices, \(A\) and \(B\), results in a larger block matrix.

Formula:

If \(A\) is an \(m \times n\) matrix and \(B\) is a \(p \times q\) matrix, their tensor product \(A \otimes B\) is an \(mp \times nq\) block matrix:

\( A \otimes B = \begin{pmatrix} a_{11}B & a_{12}B & \cdots & a_{1n}B \\ a_{21}B & a_{22}B & \cdots & a_{2n}B \\ \vdots & \vdots & \ddots & \vdots \\ a_{m1}B & a_{m2}B & \cdots & a_{mn}B \end{pmatrix} \)

Essentially, each element of matrix A is multiplied by the entire matrix B to form a block in the final matrix.