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Transpose Of Matrix

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Transpose of transpose of a matrix is matrix itself.

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Find the transpose of matrices : [(3),(0),(5)]

Let A be a square matrix of order 3, A^(T) be the transpose matrix of matrix A and "AA"^(T)=4I . If d=|(2A^(T)+"AA"^(T)+adjA)/(2)|, then the value of 12d is equal to (|A|lt 0)

The number of matrices X with entries {0,2,3} for which the sum of all the principal diagonal elements of X.X^(T) is 28 (where X^(T) is the transpose matrix of X), is

Let A and B are square matrices of order 2 such that A+adj(B^(T))=[(3,2),(2,3)] and A^(T)-adj(B)=[(-2,-1),(-1, -1)] , then A^(2)+2A^(3)+3A^(4)+5A^(5) is equal to (where M^(T) and adj(M) represent the transpose matrix and adjoint matrix of matrix M respectively and I represents the identity matrix of order 2)