TITLE: compute exponential of matrix with wolfram alpha
QUESTION [5 upvotes]: I would like to use wolfram alpha to compute matrix exponential. I have tried with the exponential of the identity matrix, with this input:

exp({{1,0},{0,1}})

But what I get is unexpected. The input is interpreted correctly, but the result is 

{{e,1},{1,e}}

while, being a diagonal matrix, I would expect {{e,0},{0,e}}... as is explained by wolfram itself.
What I'm missing?

REPLY [4 votes]: It's applying the exponential function element-wise, rather than computing the matrix exponential.