# Javascript Program for Kronecker Product of two matrices

Last Updated : 25 Apr, 2022

Given a matrix A and a matrix B, their Kronecker product C = A tensor B, also called their matrix direct product, is an 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 2Ã—2 matrix A
and the 2Ã—2 matrix B is given by the 4Ã—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 2Ã—3 matrix A
and the 3Ã—2 matrix B is given by the 6Ã—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 :

## Javascript

 ``

Output :

```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), as we are using nested loops.

Auxiliary Space: O((rowa + colb)*(rowb + cola)), as we are using extra space in matrix C.

Please refer complete article on Kronecker Product of two matrices for more details!

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