Calculate the determinant of the matrix A=(αij), αij=|i-j|, i,j= {1,...,n}. (Hint: write A=(a) in the form of an nxn matrix and then transform it, with polynomials, into an upper triangular equivalent)

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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EX 2
Calculate the determinant of the matrix A=(aij), αij=|i-j|, i,j={1,...,n}.
(Hint: write A=(α) in the form of an nxn matrix and then transform it, with polynomials, into
an upper triangular equivalent)
Transcribed Image Text:EX 2 Calculate the determinant of the matrix A=(aij), αij=|i-j|, i,j={1,...,n}. (Hint: write A=(α) in the form of an nxn matrix and then transform it, with polynomials, into an upper triangular equivalent)
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