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A is a matric of order 3 xx 3. If A'=A a...

A is a matric of order `3 xx 3`. If A'=A and five entries in the matrix are of the kind are remaining four are of another king. Then the maximum number of such matrices is greater then or equal to

A

9

B

10

C

11

D

8

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The correct Answer is:
1,2,3,4
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Knowledge Check

  • The total number of possible matrices of order 3xx3 with each 3 or 7 is :

    A
    21
    B
    10
    C
    512
    D
    343
  • If A and B are square matrices of order 3, then

    A
    ` adj (AB) =adjA + adj B `
    B
    `(A+B) =A^(-1) +B^(-1) `
    C
    ` AB= O rArr | A| =0 or [B] =0`
    D
    ` AB = OrArr |A| =0 and |B| =0`
  • Let A be the set of all 3xx3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them of 0. The number of matrices A in A for which is the system linear equations A[(x),(y),(z)]=[(1),(0),(0)] is inconsistent is

    A
    0
    B
    more than 2
    C
    2
    D
    1
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