Hi, I have a question about a rather strange behavior of Wolfram Alpha. Let us suppose A+B=C are matrices.
1) If you input C^2, you get an actual matrix multiplication. (example: {{1,2},{3,4}}^2)
2) However, if you input (A+B)^2, wolfram alpha evaluates it all component-wise. (example: ({{0,0},{0,0}}+{{1,2},{3,4}})^2 )
This wouldn't be as confusing if it wasn't for the way how wolfram alpha depicts this:
If I enter explicitely that I want the matrix power (input: MatrixPower[{{1,0},{0,0}}+{{1,2},{3,4}},2]), the result is right (the matrix power of the addition), but the depiction is even more confusing:
Is this a bug or is there some sensible reason for this behavior?