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Elements of a matrix A of order 10 x 10 ...

Elements of a matrix A of order 10 x 10 are defined as `a_(ij)=omega^(i+j)` (where omega is cube root unity), then tr(A) of matrix is

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Elements of a matrix A of order 10x10 are defined as a_(ij)=omega^(i+j) (where omega is cube root unity),then tr(A) of matrix is

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construst a matrix of order 2 xx 2 whose elements are defined as a_(ij)=i+3j.

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If the elements of a matrix A of order 2 xx 3 are defined as a_(ij) = {{:(i + j , i =j),(i-j,i nej):} then the matrix A^(T) is :