- #36
Dank2
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I understand it if we assume A is the matrix that has it's eigenvalues on the diagonal. But what if A other matrix? in your question you assume A = diag(-5,-5,0) ?fresh_42 said:So, the second isn't applicable. How many eigenvectors of ##A## arise from the dimension of the nullspace of ##A+5I##?
And how many from the nullspace of ##A## itself? Are all of these linearly independent? And why?
The former considerations showed us which eigenvalues there have to be and which possibilities exist. They are not really necessary but were easy to do.