Is the Inverse of a Diagonal Matrix Simply the Inverse of Its Elements?

[asdf1]

is the inverse of a diagonal matrix always just calculated by taking the inverses of each number in the matrix?

 

[HallsofIvy]

What is the inverse of the 2 by 2 matrix all of whose entries are 1?

For some reason, I read "symmetric matrices" where the question was about "diagonal matrices".

 

[matt grime]

Take a diagonal matric, mutliply it by the one you just made, what's the answer?

 

[asdf1]

thank you very much!