What is the dimensionality of the set of all bisymmetric matrices of size n?
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Let A denote the space of symmetric (n×n) matrices over the field K, and B the space of skew-symmetric (n×n) matrices over the field K. Then dim(A)=n(n+1)/2 and dim(B)=n(n−1)/2.
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Step-by-step explanation:
Let A denote the space of symmetric (n×n) matrices over the field K, and B the space of skew-symmetric (n×n) matrices over the field K. Then dim(A)=n(n+1)/2 and dim(B)=n(n−1)/2.
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