Let A be a squared matrix, and suppose there exists an n∈N in a
way that A^n=0. Show that I−A is invertible and that
(I−A)^−1=I+A+⋯+An−1
0. Show Let A be a squared matrix, and suppose there exists an n e Nin a way that A that I - A is invertible and that (I - A) 1 =1+A+ ... + An-1
Let A be a squared matrix, and suppose there exists an n∈N in a way that A^n=0. Show that I−A is invertible and that (I−
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