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OpenStudy (anonymous):
Linear Algebra: Let A be an n x n matrix. Show that if A^2 = 0, then I - A is nonsingular and (I - A)^-1 = I + A
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OpenStudy (anonymous):
@jim_thompson5910 ?
OpenStudy (blockcolder):
You can show that (I-A)(I+A)=I from which you can conclude that (I+A)^(-1)=I-A and (I-A)^(-1)=I+A
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