Let A and B be any two n n matrices such that the following conditions hold AB BA and there

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Latest KVPY Aptitude Question SOLUTION: Let A and B be any two n × n matrices such that the following conditions hold : AB = BA and there exist positive integers k and l such that Ak = I (the identity matrix) and Bl = 0

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(#M40027210) KVPY question Mental Ability Keep an EYE

Let A and B be any two n × n matrices such that the following conditions hold : AB = BA and there exist
positive integers k and l such that Ak = I (the identity matrix) and Bl = 0 (the zero matrix). Then-
(A) A + B = I (B) det (AB) = 0
(C) det (A + B) ≠ 0 (D) (A + B)m = 0 for some integer m

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Latest KVPY Aptitude Question SOLUTION: Let A and B be any two n × n matrices such that the following conditions hold : AB = BA and there exist positive integers k and l such that Ak = I (the identity matrix) and Bl = 0

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(#M40027210) KVPY question Mental Ability Keep an EYE

Let A and B be any two n × n matrices such that the following conditions hold : AB = BA and there exist positive integers k and l such that Ak = I (the identity matrix) and Bl = 0 (the zero matrix). Then- (A) A + B = I (B) det (AB) = 0 (C) det (A + B) ≠ 0 (D) (A + B)m = 0 for some integer m

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Let A and B be any two n × n matrices such that the following conditions hold : AB = BA and there exist
positive integers k and l such that Ak = I (the identity matrix) and Bl = 0 (the zero matrix). Then-
(A) A + B = I (B) det (AB) = 0
(C) det (A + B) ≠ 0 (D) (A + B)m = 0 for some integer m