Determinant and Adjoint Matrices of Matrices Whose Members are Polynomial Sequences
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Abstract
In this research, we study the determinant and adjoint matrices of a matrices whose n+2-row (column) entries are polynomial sequences of degree n. We obtain that the determinant and the sum of the entries in each column (row) of the adjoint matrices are zero.
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References
Bahsi, M. and Solak, S. (2010). On the circulant matrices with arithmetic sequence. International Journal of Contemporary Mathematical Sciences 5(25): 1213 – 1222.
Hajrizaj, D. (2009). New Method to Compute the Determinant of a 3x3 Matrix. International Journal of Algebra 3(5): 211 – 219.
Leon, S.J. (2015). Linear Algebra with Applications. 9th ed. Boston: Pearson.
Mattingly, R.B. (2000). Even Order Regular Magic Squares Are Singular. The American Mathematical Monthly 107(9): 777 – 782.
Thirumurugan, K. (2014). A New Method to Compute the Adjoint and Inverse of a 3 × 3 non–singular Matrices. International Journal of Mathematics and Statistics Invention 2(10): 52 – 55.
Yandl, A.L. and Swenson, C. (2012). A Class of Matrices with Zero Determinant. Mathematics Magazine 85(2): 126 – 130.