If A^ k =0 (null matrix) for some positive integral value of k, then I+ A + A ^ 2 + + A ^…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
If \(A^{k}=0\) (null matrix) for some positive integral value of k, then \(I+\mathrm{A}+\mathrm{A}^{2}+\ldots+\mathrm{A}^{\mathrm{k}-1}\) is equal to
- null matrix 0
- \((I+A)^{k}\)
- \((I-A)^{-1}\)
- none of these
Answer
(C) (I-A)^ -1
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