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In mathematics, the Khatri–Rao product of matrices defined as

in which the ij-th block is the mipi × njqj sized Kronecker product of the corresponding blocks of A and B, assuming the number of row and column partitions of both matrices is equal. The size of the product is then ×.

For example, if A and B both are 2 × 2 partitioned matrices e.g.:

we obtain:

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