outer produce Example

Outer product example.
Home.

In this example, ⊗(A, B) = C.

Matrix A:

A(1,1) = 1.11 A(1,2) = 1.12 A(1,3) = 1.13 A(1,4) = 1.14 A(1,5) = 1.15
A(2,1) = 1.21 A(2,2) = 1.22 A(2,3) = 1.23 A(2,4) = 1.24 A(2,5) = 1.25
A(3,1) = 1.31 A(3,2) = 1.32 A(3,3) = 1.33 A(3,4) = 1.34 A(3,5) = 1.35

Matrix B:

B(1,1) = 2.11 B(1,2) = 2.12 B(1,3) = 2.13 B(1,4) = 2.14 B(1,5) = 2.15 B(1,6) = 2.16 B(1,7) = 2.17
B(2,1) = 2.21 B(2,2) = 2.22 B(2,3) = 2.23 B(2,4) = 2.24 B(2,5) = 2.25 B(2,6) = 2.26 B(2,7) = 2.27

Matrix C:

C(1,1,1,1) = 2.3421 C(1,1,1,2) = 2.3532 C(1,1,1,3) = 2.3643 C(1,1,1,4) = 2.3754 C(1,1,1,5) = 2.3865 C(1,1,1,6) = 2.3976 C(1,1,1,7) = 2.4087
C(1,1,2,1) = 2.4531 C(1,1,2,2) = 2.4642 C(1,1,2,3) = 2.4753 C(1,1,2,4) = 2.4864 C(1,1,2,5) = 2.4975 C(1,1,2,6) = 2.5086 C(1,1,2,7) = 2.5197
C(1,2,1,1) = 2.3632 C(1,2,1,2) = 2.3744 C(1,2,1,3) = 2.3856 C(1,2,1,4) = 2.3968 C(1,2,1,5) = 2.4080 C(1,2,1,6) = 2.4192 C(1,2,1,7) = 2.4304
C(1,2,2,1) = 2.4752 C(1,2,2,2) = 2.4864 C(1,2,2,3) = 2.4976 C(1,2,2,4) = 2.5088 C(1,2,2,5) = 2.5200 C(1,2,2,6) = 2.5312 C(1,2,2,7) = 2.5424
C(1,3,1,1) = 2.3843 C(1,3,1,2) = 2.3956 C(1,3,1,3) = 2.4069 C(1,3,1,4) = 2.4182 C(1,3,1,5) = 2.4295 C(1,3,1,6) = 2.4408 C(1,3,1,7) = 2.4521
C(1,3,2,1) = 2.4973 C(1,3,2,2) = 2.5086 C(1,3,2,3) = 2.5199 C(1,3,2,4) = 2.5312 C(1,3,2,5) = 2.5425 C(1,3,2,6) = 2.5538 C(1,3,2,7) = 2.5651
C(1,4,1,1) = 2.4054 C(1,4,1,2) = 2.4168 C(1,4,1,3) = 2.4282 C(1,4,1,4) = 2.4396 C(1,4,1,5) = 2.4510 C(1,4,1,6) = 2.4624 C(1,4,1,7) = 2.4738
C(1,4,2,1) = 2.5194 C(1,4,2,2) = 2.5308 C(1,4,2,3) = 2.5422 C(1,4,2,4) = 2.5536 C(1,4,2,5) = 2.5650 C(1,4,2,6) = 2.5764 C(1,4,2,7) = 2.5878
C(1,5,1,1) = 2.4265 C(1,5,1,2) = 2.4380 C(1,5,1,3) = 2.4495 C(1,5,1,4) = 2.4610 C(1,5,1,5) = 2.4725 C(1,5,1,6) = 2.4840 C(1,5,1,7) = 2.4955
C(1,5,2,1) = 2.5415 C(1,5,2,2) = 2.5530 C(1,5,2,3) = 2.5645 C(1,5,2,4) = 2.5760 C(1,5,2,5) = 2.5875 C(1,5,2,6) = 2.5990 C(1,5,2,7) = 2.6105
C(2,1,1,1) = 2.5531 C(2,1,1,2) = 2.5652 C(2,1,1,3) = 2.5773 C(2,1,1,4) = 2.5894 C(2,1,1,5) = 2.6015 C(2,1,1,6) = 2.6136 C(2,1,1,7) = 2.6257
C(2,1,2,1) = 2.6741 C(2,1,2,2) = 2.6862 C(2,1,2,3) = 2.6983 C(2,1,2,4) = 2.7104 C(2,1,2,5) = 2.7225 C(2,1,2,6) = 2.7346 C(2,1,2,7) = 2.7467
C(2,2,1,1) = 2.5742 C(2,2,1,2) = 2.5864 C(2,2,1,3) = 2.5986 C(2,2,1,4) = 2.6108 C(2,2,1,5) = 2.6230 C(2,2,1,6) = 2.6352 C(2,2,1,7) = 2.6474
C(2,2,2,1) = 2.6962 C(2,2,2,2) = 2.7084 C(2,2,2,3) = 2.7206 C(2,2,2,4) = 2.7328 C(2,2,2,5) = 2.7450 C(2,2,2,6) = 2.7572 C(2,2,2,7) = 2.7694
C(2,3,1,1) = 2.5953 C(2,3,1,2) = 2.6076 C(2,3,1,3) = 2.6199 C(2,3,1,4) = 2.6322 C(2,3,1,5) = 2.6445 C(2,3,1,6) = 2.6568 C(2,3,1,7) = 2.6691
C(2,3,2,1) = 2.7183 C(2,3,2,2) = 2.7306 C(2,3,2,3) = 2.7429 C(2,3,2,4) = 2.7552 C(2,3,2,5) = 2.7675 C(2,3,2,6) = 2.7798 C(2,3,2,7) = 2.7921
C(2,4,1,1) = 2.6164 C(2,4,1,2) = 2.6288 C(2,4,1,3) = 2.6412 C(2,4,1,4) = 2.6536 C(2,4,1,5) = 2.6660 C(2,4,1,6) = 2.6784 C(2,4,1,7) = 2.6908
C(2,4,2,1) = 2.7404 C(2,4,2,2) = 2.7528 C(2,4,2,3) = 2.7652 C(2,4,2,4) = 2.7776 C(2,4,2,5) = 2.7900 C(2,4,2,6) = 2.8024 C(2,4,2,7) = 2.8148
C(2,5,1,1) = 2.6375 C(2,5,1,2) = 2.6500 C(2,5,1,3) = 2.6625 C(2,5,1,4) = 2.6750 C(2,5,1,5) = 2.6875 C(2,5,1,6) = 2.7000 C(2,5,1,7) = 2.7125
C(2,5,2,1) = 2.7625 C(2,5,2,2) = 2.7750 C(2,5,2,3) = 2.7875 C(2,5,2,4) = 2.8000 C(2,5,2,5) = 2.8125 C(2,5,2,6) = 2.8250 C(2,5,2,7) = 2.8375
C(3,1,1,1) = 2.7641 C(3,1,1,2) = 2.7772 C(3,1,1,3) = 2.7903 C(3,1,1,4) = 2.8034 C(3,1,1,5) = 2.8165 C(3,1,1,6) = 2.8296 C(3,1,1,7) = 2.8427
C(3,1,2,1) = 2.8951 C(3,1,2,2) = 2.9082 C(3,1,2,3) = 2.9213 C(3,1,2,4) = 2.9344 C(3,1,2,5) = 2.9475 C(3,1,2,6) = 2.9606 C(3,1,2,7) = 2.9737
C(3,2,1,1) = 2.7852 C(3,2,1,2) = 2.7984 C(3,2,1,3) = 2.8116 C(3,2,1,4) = 2.8248 C(3,2,1,5) = 2.8380 C(3,2,1,6) = 2.8512 C(3,2,1,7) = 2.8644
C(3,2,2,1) = 2.9172 C(3,2,2,2) = 2.9304 C(3,2,2,3) = 2.9436 C(3,2,2,4) = 2.9568 C(3,2,2,5) = 2.9700 C(3,2,2,6) = 2.9832 C(3,2,2,7) = 2.9964
C(3,3,1,1) = 2.8063 C(3,3,1,2) = 2.8196 C(3,3,1,3) = 2.8329 C(3,3,1,4) = 2.8462 C(3,3,1,5) = 2.8595 C(3,3,1,6) = 2.8728 C(3,3,1,7) = 2.8861
C(3,3,2,1) = 2.9393 C(3,3,2,2) = 2.9526 C(3,3,2,3) = 2.9659 C(3,3,2,4) = 2.9792 C(3,3,2,5) = 2.9925 C(3,3,2,6) = 3.0058 C(3,3,2,7) = 3.0191
C(3,4,1,1) = 2.8274 C(3,4,1,2) = 2.8408 C(3,4,1,3) = 2.8542 C(3,4,1,4) = 2.8676 C(3,4,1,5) = 2.8810 C(3,4,1,6) = 2.8944 C(3,4,1,7) = 2.9078
C(3,4,2,1) = 2.9614 C(3,4,2,2) = 2.9748 C(3,4,2,3) = 2.9882 C(3,4,2,4) = 3.0016 C(3,4,2,5) = 3.0150 C(3,4,2,6) = 3.0284 C(3,4,2,7) = 3.0418
C(3,5,1,1) = 2.8485 C(3,5,1,2) = 2.8620 C(3,5,1,3) = 2.8755 C(3,5,1,4) = 2.8890 C(3,5,1,5) = 2.9025 C(3,5,1,6) = 2.9160 C(3,5,1,7) = 2.9295
C(3,5,2,1) = 2.9835 C(3,5,2,2) = 2.9970 C(3,5,2,3) = 3.0105 C(3,5,2,4) = 3.0240 C(3,5,2,5) = 3.0375 C(3,5,2,6) = 3.0510 C(3,5,2,7) = 3.0645

A(1,1) = 1.11	A(1,2) = 1.12	A(1,3) = 1.13	A(1,4) = 1.14	A(1,5) = 1.15
A(2,1) = 1.21	A(2,2) = 1.22	A(2,3) = 1.23	A(2,4) = 1.24	A(2,5) = 1.25
A(3,1) = 1.31	A(3,2) = 1.32	A(3,3) = 1.33	A(3,4) = 1.34	A(3,5) = 1.35

B(1,1) = 2.11	B(1,2) = 2.12	B(1,3) = 2.13	B(1,4) = 2.14	B(1,5) = 2.15	B(1,6) = 2.16	B(1,7) = 2.17
B(2,1) = 2.21	B(2,2) = 2.22	B(2,3) = 2.23	B(2,4) = 2.24	B(2,5) = 2.25	B(2,6) = 2.26	B(2,7) = 2.27

C(1,1,1,1) = 2.3421	C(1,1,1,2) = 2.3532	C(1,1,1,3) = 2.3643	C(1,1,1,4) = 2.3754	C(1,1,1,5) = 2.3865	C(1,1,1,6) = 2.3976	C(1,1,1,7) = 2.4087
C(1,1,2,1) = 2.4531	C(1,1,2,2) = 2.4642	C(1,1,2,3) = 2.4753	C(1,1,2,4) = 2.4864	C(1,1,2,5) = 2.4975	C(1,1,2,6) = 2.5086	C(1,1,2,7) = 2.5197
C(1,2,1,1) = 2.3632	C(1,2,1,2) = 2.3744	C(1,2,1,3) = 2.3856	C(1,2,1,4) = 2.3968	C(1,2,1,5) = 2.4080	C(1,2,1,6) = 2.4192	C(1,2,1,7) = 2.4304
C(1,2,2,1) = 2.4752	C(1,2,2,2) = 2.4864	C(1,2,2,3) = 2.4976	C(1,2,2,4) = 2.5088	C(1,2,2,5) = 2.5200	C(1,2,2,6) = 2.5312	C(1,2,2,7) = 2.5424
C(1,3,1,1) = 2.3843	C(1,3,1,2) = 2.3956	C(1,3,1,3) = 2.4069	C(1,3,1,4) = 2.4182	C(1,3,1,5) = 2.4295	C(1,3,1,6) = 2.4408	C(1,3,1,7) = 2.4521
C(1,3,2,1) = 2.4973	C(1,3,2,2) = 2.5086	C(1,3,2,3) = 2.5199	C(1,3,2,4) = 2.5312	C(1,3,2,5) = 2.5425	C(1,3,2,6) = 2.5538	C(1,3,2,7) = 2.5651
C(1,4,1,1) = 2.4054	C(1,4,1,2) = 2.4168	C(1,4,1,3) = 2.4282	C(1,4,1,4) = 2.4396	C(1,4,1,5) = 2.4510	C(1,4,1,6) = 2.4624	C(1,4,1,7) = 2.4738
C(1,4,2,1) = 2.5194	C(1,4,2,2) = 2.5308	C(1,4,2,3) = 2.5422	C(1,4,2,4) = 2.5536	C(1,4,2,5) = 2.5650	C(1,4,2,6) = 2.5764	C(1,4,2,7) = 2.5878
C(1,5,1,1) = 2.4265	C(1,5,1,2) = 2.4380	C(1,5,1,3) = 2.4495	C(1,5,1,4) = 2.4610	C(1,5,1,5) = 2.4725	C(1,5,1,6) = 2.4840	C(1,5,1,7) = 2.4955
C(1,5,2,1) = 2.5415	C(1,5,2,2) = 2.5530	C(1,5,2,3) = 2.5645	C(1,5,2,4) = 2.5760	C(1,5,2,5) = 2.5875	C(1,5,2,6) = 2.5990	C(1,5,2,7) = 2.6105
C(2,1,1,1) = 2.5531	C(2,1,1,2) = 2.5652	C(2,1,1,3) = 2.5773	C(2,1,1,4) = 2.5894	C(2,1,1,5) = 2.6015	C(2,1,1,6) = 2.6136	C(2,1,1,7) = 2.6257
C(2,1,2,1) = 2.6741	C(2,1,2,2) = 2.6862	C(2,1,2,3) = 2.6983	C(2,1,2,4) = 2.7104	C(2,1,2,5) = 2.7225	C(2,1,2,6) = 2.7346	C(2,1,2,7) = 2.7467
C(2,2,1,1) = 2.5742	C(2,2,1,2) = 2.5864	C(2,2,1,3) = 2.5986	C(2,2,1,4) = 2.6108	C(2,2,1,5) = 2.6230	C(2,2,1,6) = 2.6352	C(2,2,1,7) = 2.6474
C(2,2,2,1) = 2.6962	C(2,2,2,2) = 2.7084	C(2,2,2,3) = 2.7206	C(2,2,2,4) = 2.7328	C(2,2,2,5) = 2.7450	C(2,2,2,6) = 2.7572	C(2,2,2,7) = 2.7694
C(2,3,1,1) = 2.5953	C(2,3,1,2) = 2.6076	C(2,3,1,3) = 2.6199	C(2,3,1,4) = 2.6322	C(2,3,1,5) = 2.6445	C(2,3,1,6) = 2.6568	C(2,3,1,7) = 2.6691
C(2,3,2,1) = 2.7183	C(2,3,2,2) = 2.7306	C(2,3,2,3) = 2.7429	C(2,3,2,4) = 2.7552	C(2,3,2,5) = 2.7675	C(2,3,2,6) = 2.7798	C(2,3,2,7) = 2.7921
C(2,4,1,1) = 2.6164	C(2,4,1,2) = 2.6288	C(2,4,1,3) = 2.6412	C(2,4,1,4) = 2.6536	C(2,4,1,5) = 2.6660	C(2,4,1,6) = 2.6784	C(2,4,1,7) = 2.6908
C(2,4,2,1) = 2.7404	C(2,4,2,2) = 2.7528	C(2,4,2,3) = 2.7652	C(2,4,2,4) = 2.7776	C(2,4,2,5) = 2.7900	C(2,4,2,6) = 2.8024	C(2,4,2,7) = 2.8148
C(2,5,1,1) = 2.6375	C(2,5,1,2) = 2.6500	C(2,5,1,3) = 2.6625	C(2,5,1,4) = 2.6750	C(2,5,1,5) = 2.6875	C(2,5,1,6) = 2.7000	C(2,5,1,7) = 2.7125
C(2,5,2,1) = 2.7625	C(2,5,2,2) = 2.7750	C(2,5,2,3) = 2.7875	C(2,5,2,4) = 2.8000	C(2,5,2,5) = 2.8125	C(2,5,2,6) = 2.8250	C(2,5,2,7) = 2.8375
C(3,1,1,1) = 2.7641	C(3,1,1,2) = 2.7772	C(3,1,1,3) = 2.7903	C(3,1,1,4) = 2.8034	C(3,1,1,5) = 2.8165	C(3,1,1,6) = 2.8296	C(3,1,1,7) = 2.8427
C(3,1,2,1) = 2.8951	C(3,1,2,2) = 2.9082	C(3,1,2,3) = 2.9213	C(3,1,2,4) = 2.9344	C(3,1,2,5) = 2.9475	C(3,1,2,6) = 2.9606	C(3,1,2,7) = 2.9737
C(3,2,1,1) = 2.7852	C(3,2,1,2) = 2.7984	C(3,2,1,3) = 2.8116	C(3,2,1,4) = 2.8248	C(3,2,1,5) = 2.8380	C(3,2,1,6) = 2.8512	C(3,2,1,7) = 2.8644
C(3,2,2,1) = 2.9172	C(3,2,2,2) = 2.9304	C(3,2,2,3) = 2.9436	C(3,2,2,4) = 2.9568	C(3,2,2,5) = 2.9700	C(3,2,2,6) = 2.9832	C(3,2,2,7) = 2.9964
C(3,3,1,1) = 2.8063	C(3,3,1,2) = 2.8196	C(3,3,1,3) = 2.8329	C(3,3,1,4) = 2.8462	C(3,3,1,5) = 2.8595	C(3,3,1,6) = 2.8728	C(3,3,1,7) = 2.8861
C(3,3,2,1) = 2.9393	C(3,3,2,2) = 2.9526	C(3,3,2,3) = 2.9659	C(3,3,2,4) = 2.9792	C(3,3,2,5) = 2.9925	C(3,3,2,6) = 3.0058	C(3,3,2,7) = 3.0191
C(3,4,1,1) = 2.8274	C(3,4,1,2) = 2.8408	C(3,4,1,3) = 2.8542	C(3,4,1,4) = 2.8676	C(3,4,1,5) = 2.8810	C(3,4,1,6) = 2.8944	C(3,4,1,7) = 2.9078
C(3,4,2,1) = 2.9614	C(3,4,2,2) = 2.9748	C(3,4,2,3) = 2.9882	C(3,4,2,4) = 3.0016	C(3,4,2,5) = 3.0150	C(3,4,2,6) = 3.0284	C(3,4,2,7) = 3.0418
C(3,5,1,1) = 2.8485	C(3,5,1,2) = 2.8620	C(3,5,1,3) = 2.8755	C(3,5,1,4) = 2.8890	C(3,5,1,5) = 2.9025	C(3,5,1,6) = 2.9160	C(3,5,1,7) = 2.9295
C(3,5,2,1) = 2.9835	C(3,5,2,2) = 2.9970	C(3,5,2,3) = 3.0105	C(3,5,2,4) = 3.0240	C(3,5,2,5) = 3.0375	C(3,5,2,6) = 3.0510	C(3,5,2,7) = 3.0645