Let A and B be two matrices different from I such that AB = BA and A n – B n is…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Let A and B be two matrices different from I such that AB = BA and An – Bn is invertible for some positive integer n. If An – Bn = An + 1 – Bn + 1 = An + 2 – Bn + 2, then
- I – A is singular
- I – B is singular
- A = B
- (I – A) (I – B) is non-singular
Answer
(A) I – A is singular, (B) I – B is singular
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