1.

If `A^(3)=O`, then prove that `(I-A)^(-1) =I+A+A^(2)`.A. `I-A`B. `(I-A)^(-1)`C. `(I+A)^(-1)`D. none of these

Answer» Correct Answer - B
We have,
`(I-A)(I+A+A^2)=I+A+A^2-A-A^2-A^3=I-O=I`
`:. (I-A)^(-1)=I+A+A^2`


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