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If A is a 3x3 matrix and B is its adjoin...

If A is a 3x3 matrix and B is its adjoint matrix the determinant of B is 64 then determinant of A is

A

64

B

`pm 64`

C

`pm 8`

D

18

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • A is a 3 xx 3 matrix and B is its adjoint matrix. If |B|=81 , then |A|=

    A
    `pm 3`
    B
    `pm 4`
    C
    `pm 9`
    D
    `pm 7`
  • If the matrix A B is a zero matrix, then

    A
    It is not necessary that either `A=0 or B=0`
    B
    `A=0 or B=0`
    C
    `A=0 and B=0`
    D
    all the above statement are wrong
  • Let A be a matrix of order 3 xx 3 , and B is its adjoint matrix. If B =81 , then A =

    A
    `pm 6`
    B
    `pm 3`
    C
    `9`
    D
    `4`
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    Let A be the the square matrix of order 3 and deteminant of A is 5 then find the value of determinant of adj(A)

    If A is a 3x3 matrix and det (3A) = k {det(A)} , k is equal to

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    If A is 3xx4 matrix and B is a matrix such that A'B and BA' are both defined, then B is of the type

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