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Let be set of all symmetric matrices all of whose entries are either or Five of these entries are and four of them are , Then
(a)number of matrices in
(b)number of matrices in ,such that the system has unique solution
(c)number of matrices in , such that the system is inconsistent
(d)number of matrices in

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Important Questions on Matrices and Determinants
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In a third order matrix denotes the element in the row and column.
If for
for
for
Then the matrix is

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Let is a square matrix of order where . Then is

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