Manuals/calci/KRONECKERPRODUCT

MATRIXTENSORPRODUCT (a,b)

• $a$ and $b$ are any matrix test array.

Description

• This function gives the result of Kronecker product.
• Kronecker product is also called Tens or product.
• It is denoted by $\otimes$.
• This product is comparatively different from usual Matix multiplication.
• 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 an (mp)×(nq) matrix .
• So $A\otimes B={\begin{bmatrix}a_{11}B&\cdots &a_{1n}B\\\vdots &\ddots &\vdots \\a_{m1}B&\cdots &a_{mn}B\end{bmatrix}}$

Examples

1. MATRIXTENSORPRODUCT(a1=TESTARRAY(3),a2=TESTARRAY(3))

[[0.1043,0.2508,0.0217,0.0637,0.1531,0.0132,0.2749,0.6612,0.0572], [0.1315,0.0125,0.0119,0.0803,0.0076,0.0072,0.3467,0.0331,0.0314], [0.2411,0.2536,0.1147,0.1472,0.1548,0.0700,0.6355,0.6686,0.3024], [0.0663,0.1596,0.0138,0.0426,0.1026,0.0088,0.2594,0.6240,0.0540], [0.0837,0.0080,0.0075,0.0538,0.0051,0.0048,0.3272,0.0313,0.0296], [0.1534,0.1614,0.0730,0.0986,0.1037,0.0469,0.5998,0.6309,0.2854], [0.0619,0.1489,0.0128,0.0679,0.1634,0.0141,0.0560,0.1347,0.0116], [0.0780,0.0074,0.0070,0.0857,0.0081,0.0077,0.0706,0.0067,0.0064], [0.1431,0.1505,0.0681,0.1571,0.1652,0.0747,0.1295,0.1362,0.0616]]

See Also

• MMULT
• MDETERM

References

Matrix tens or Product