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Let A be the set of all 3xx3 symmetric m...

Let A be the set of all `3xx3` 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 in A is

A

12

B

6

C

9

D

3

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The correct Answer is:
A
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Let A be the set of all 3xx3 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 equations A[(x),(y),(z)]=[(1),(0),(0)] is inconsistent is

Let A be the set of all 3 xx 3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0. The number of matrices in A is

Knowledge Check

  • The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is

    A
    18
    B
    27
    C
    81
    D
    512
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