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Given an m*n matrix A and a p*q matrix B, their Kronecker product C = A tensor B, also called their matrix direct product, is a (m*p) * (n*q) matrix.
A tensor B = |a11B a12B| |a21B a22B| = |a11b11 a11b12 a12b11 a12b12| |a11b21 a11b22 a12b21 a12b22| |a11b31 a11b32 a12b31 a12b32| |a21b11 a21b12 a22b11 a22b12| |a21b21 a21b22 a22b21 a22b22| |a21b31 a21b32 a22b31 a22b32|
Examples:
1. The matrix direct(kronecker) product of the 2×2 matrix A and the 2×2 matrix B is given by the 4×4 matrix : Input : A = 1 2 B = 0 5 3 4 6 7 Output : C = 0 5 0 10 6 7 12 14 0 15 0 20 18 21 24 28 2. The matrix direct(kronecker) product of the 2×3 matrix A and the 3×2 matrix B is given by the 6×6 matrix : Input : A = 1 2 B = 0 5 2 3 4 6 7 3 1 0 Output : C = 0 5 2 0 10 4 6 7 3 12 14 6 0 15 6 0 20 8 18 21 9 24 28 12 0 5 2 0 0 0 6 7 3 0 0 0
Below is the code to find the Kronecker Product of two matrices and stores it as matrix C :
0 5 2 0 10 4 6 7 3 12 14 6 0 15 6 0 20 8 18 21 9 24 28 12 0 5 2 0 0 0 6 7 3 0 0 0
Time Complexity: O(rowa * rowb * cola * colb)
Auxiliary Space: O((rowa * rowb) * (cola * colb))