8. Express the matrix A =
A coor
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3 6 2 as the sum of a symmetric and a skew-symmetric matrix.
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[C.B.S.E. 2007,'08;
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Answers
Answer:We deal with {K,s+1}-potent matrices. These matrices generalize all the following classes of matrices: k-potent matrices, periodic matrices, idempotent matrices, involutory matrices, centrosymmetric matrices, mirrorsymmetric matrices, circulant matrices, among others. Several applications of these classes of matrices can be found in the literature. We develop algorithms in order to compute {K,s+1}-potent matrices and {K,s+1}-potent linear combinations of {K,s+1}-potent matrices. In addition, some examples are presented in order to show the numerical performance of the method.
Step-by-step explanation:
Answer:
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, Because equal matrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix are symmetric with respect to the main diagonal.