Can a PSD Matrix Be Expressed as a Sum of Structurally Similar Matrices?

[peterlam]

Is it possible to express a n-by-n positive semi-definite matrix (A) in terms of a sum of n terms of something, i.e. A = B1+B2+...+Bn, where each Bi has similar structure?

Thanks!

 

[lanedance]

how about Bi = A/n

is there more to this question? its a litle smbiguous as is

also be sure to show your attempts