The discussion revolves around converting the matrix equation [D]=[A][B]T[C] into index notation. Participants are exploring the correct representation of this equation in index form, focusing on the implications of matrix transposition and the operations involved.
Participants do not reach a consensus on the correct index notation. There are multiple viewpoints regarding the interpretation of the equation and the role of matrix B, leading to some confusion and debate.
The discussion highlights potential limitations in understanding due to formatting issues and the complexity of matrix operations involved in the conversion to index notation.
BT? It is the transpose of B.Khashishi said:Where did B come from?
No I never editted the equation. Do you have any ideas?Khashishi said:Err, did you edit your post? I didn't see a B in your equation before. Anyways, nevermind.
The OP had , which browsers treat as the start tag for bold fonts. That screwed up the equation. I edited the equation to fix that problem.Khashishi said:Err, did you edit your post? I didn't see a B in your equation before. Anyways, nevermind.
OK. Let us start at the right. First: [itex]B^{T}_{j,k}=B_{k,j}[/itex], so [itex](B^{T}\circ C)_{j,l}=\sum _{k}B^{T}_{j,k}C_{k,l}[/itex]. Then inset A at the front in the same way: [itex]A\circ (B^{T}\circ C)_{i,l}=\sum _{j}A_{i,j}(\sum _{k}B^{T}_{j,k}C_{k,l})[/itex].kezzstar said:I am having trouble converting [D]=[A][ B]T[C] to index notation.