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Let A be the set of all 3× 3 symmetric m...

Let A be the set of all 3× 3 symmetric matrices all of whose either 0 or 1. Five of these entries are 1 and four of them are 0.The number of matrices A in A for which the system of linear equation `A {:[(x),(y),(z)]=[(1),(0),(0)]` has a unique solution is

A

less than 4

B

at least 4 but less than 7

C

at least 7 but less than 10

D

at least 20

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