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

Let A and B any two `n xx n` matrices such that the following conditio

1.	Let A and B any two `n xx n` matrices such that the following conditions hold : `AB= BA` and there exist positive integers `k` and `l` such that `A^(k)=I` (the identity matrix) and `B^(l)=0` (the zero matrix). Then-A. `A + B = I`B. det (AB) =0C. det `(A + B) ne 0`D. `(A + B)^(m)= 0` for some integer m
Answer» Correct Answer - B `A^(k)=I, B^(l)=0 ("det (B) = 0")` `rArr" det "(AB)=0`

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