Kunze Linear Algebra · Problem 6.7.7

Elementary Canonical Forms

Mathematics — Methods · characteristic-space-column-vectors-projection

Problem

In Exercises 5 and 6, notice that (for each

i

) the space of characteristic vectors associated with the characteristic value

c_i

is spanned by the column vectors of the various matrices

E_j

with

j \neq i

. Is that a coincidence?