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The inverse of the matrix [(2,5,0),(0,1,...

The inverse of the matrix `[(2,5,0),(0,1,1),(-1,0,3)]` is

A

`[(3,-1,1),(-15,6,-5),(5,-2,2)]`

B

`[(3,-15,5),(-1,6,-2),(1,-5,2)]`

C

`[(3,-5,5),(-1,-6,-2),(1,-5,2)]`

D

`[(3,-15,5),(-1,6,-2),(1,-5,-2)]`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The inverse of the matrix A [(2,0,0),(0,3,0),(0,0,4)] is :

    A
    `[(2,0,0),(0,3,0),(0,0,4)] `
    B
    `[ (1/2,0,0),(0,1/3,0),(0,0,1/4)] `
    C
    `1/24 [(2,0,0),(0,3,0),(0,0,4)] `
    D
    `1/24 [(1,0,0),(0,1,0),(0,0,1)] `
  • The inverse of the matrix A=[(2,0,0),(0,3,0),(0,0,4)] is

    A
    `1/24[(2,0,0),(0,3,0),(0,0,4)]`
    B
    `[(2,0,0),(0,3,0),(0,0,4)]`
    C
    `1/24 [(1,0,0),(0,1,0),(0,0,1)]`
    D
    `[(1/2,0,0),(0, 1/3, 0),(0,0,1/4)]`
  • The inverse of the matrix A = [[2,0,0],[0,3,0],[0,0,4]] is

    A
    `(1)/(24)[[2,0,0],[0,3,0],[0,0,4]]`
    B
    `[[2,0,0],[0,3,0],[0,0,4]]`
    C
    `(1)/(24)[[1,0,0],[0,1,0],[0,0,1]]`
    D
    `[[(1)/(2),0,0],[0,(1)/(3),0],[0,0,(1)/(4)]]`
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