If `A=[(-1,1),(0,-2)]=B^3+C^3`, where B and C are 2 x 2 matrices with integer elements, then- `tr(B) - tr (C)` must be equal to

Let A and B be two 2 xx 2 matrix with real entries, If AB=0 and such that tr(A)=tr(B)=0then

Let A and B be two 2 xx 2 matrix with real entries, If AB=0 and such that tr(A)=tr(B)=0then

Consider A and B as 2xx2 matrices with determinant equal to 1 then tr(AB)-tr(A).tr(B)+tr(AB^(-1))+2 is_______

Let A=[(1,0,3),(0,b,5),(-(1)/(3),0,c)] , where a, b, c are positive integers. If tr(A)=7 , then the greatest value of |A| is (where tr (A) denotes the trace of matric A i.e. the sum of principal diagonal elements of matrix A)

If A and B are two square matrices of the order 3, then the value of 998 tr(I)-999 tr(AB)+999tr (BA) is

If A and B are two square matrices of the order 3, then the value of 998 tr(I)-999 tr(AB)+999tr (BA) is

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.