How does the notation of a block matrix work? I'm sorry if my question is not specific, but I would really appreciate an answer with an example.
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This question is completely missing of context. What do you mean by "block matrix"? – Taroccoesbrocco May 13 '18 at 02:32
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There's no magic to it. Let's say that A, B, C, and D are all matrices. Then \begin{bmatrix} A & B \\ C & D \end{bmatrix} is a block matrix (where here we are assuming that the matrices $A$, $B$, $C$, and $D$ have the right dimensions so that the block matrix works out.
Does that answer your question?

NicNic8
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is this a matrix of matrix then (a collection of matrix)? or just a notation – Rémy Hosseinkhan Boucher Jan 11 '21 at 21:18
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The two are isomorphic (with pointwise addition and scalar multiplication). Strictly speaking, I guess it depends on how you're using it. But since they're isomorphic, you can always use the isomorphism to translate one to the other. I guess that's what's done implicitly. – NicNic8 Jan 12 '21 at 22:21
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