Tuesday, 10 June 2014

linear algebra - eigen values and eigen vector of a matrix

Let A be an n *n matrix all of whose entries are 1. Find all the eigenvalues and eigenvectors of A. I have checked for 2*2 ,3*3 matrices and guessing the answer but in general how to show.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...