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Let A+2B=[{:(2,4,0),(6,-3,3),(-5,3,5):}]...

Let `A+2B=[{:(2,4,0),(6,-3,3),(-5,3,5):}] and 2A-B=[{:(6,-2,4),(6,1,5),(6,3,4):}]` , then tr (A) - tr (B) is equal to (where , tr (A) =n trace of matrix x A i.e. . Sum of the principle diagonal elements of matrix A)

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For xgt 0. " let A"=[(x+(1)/(x),0,0),(0,1//x,0),(0,0,12)], B=[((x)/(6(x^(2)+1)),0,0),(0,(x)/(4),0),(0,0,(1)/(36))] be two matrices and C=AB+(AB)^(2)+….+(AB)^(n). Then, Tr(lim_(nrarroo)C) is equal to (where Tr(A) is the trace of the matrix A i.e. the sum of the principle diagonal elements of A)

For xgt 0. " let A"=[(x+(1)/(x),0,0),(0,1//x,0),(0,0,12)], B=[((x)/(6(x^(2)+1)),0,0),(0,(x)/(4),0),(0,0,(1)/(36)] be two matrices and C=AB+(AB)^(2)+….+(AB)^(n). Then, Tr(lim_(nrarroo)C) is equal to (where Tr(A) is the trace of the matrix A i.e. the sum of the principle diagonal elements of A)

If A=[(2, 1,-1),(3, 5,2),(1, 6, 1)] , then tr(Aadj(adjA)) is equal to (where, tr (P) denotes the trace of the matrix P i.e. the sum of all the diagonal elements of the matrix P and adj(P) denotes the adjoint of matrix P)

If A=[(2, 1,-1),(3, 5,2),(1, 6, 1)] , then tr(Aadj(adjA)) is equal to (where, tr (P) denotes the trace of the matrix P i.e. the sum of all the diagonal elements of the matrix P and adj(P) denotes the adjoint of matrix P)