Suppose A n 0 for n 3 Use matrix algebra to compute (I A)(I A A 2 ) and (I A)(I A A 2 ) and show that both I A and I A are invertible

Question: Suppose A n = 0 for n = 3. Use matrix algebra to compute (I - A)(I + A + A 2 ) and (I

Suppose Aⁿ = 0 for n = 3. Use matrix algebra to compute (I - A)(I + A + A²) and (I + A)(I - A + A²) and show that both I - A and I + A are invertible.

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The inverse of I A is probably I A A 2 A n1 To verify this c... View full answer

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