Home
Class 14
MATHS
If a,b,c are non-zero real numbers, then...

If a,b,c are non-zero real numbers, then the inverse of the matrix `A=[{:(a,0,0),(0,b,0),(0,0,c):}]` is equal to :

A

`[{:(a^(-1),0,0),(0,b^(-1),0),(0,0,c^(-1)):}]`

B

`(1)/(abc) [{:(a^(-1),0,0),(0,b^(-1),0),(0,0,c^(-1)):}]`

C

`(1)/(abc) [{:(1,0,0),(0,1,0),(0,0,1):}]`

D

`(1)/(abc) [{:(a,0,0),(0,b,0),(0,0,c):}]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRIX

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|91 Videos

  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos

  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

Similar Questions

Explore conceptually related problems

If x, y, z are non-zero real numbers, then the inverse of matrix A=[(x,0, 0) ,(0,y,0),( 0, 0,z)] is (A) [[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]] (B) xyz[[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]] (C) (1)/(xyz)[[x,0,0],[0,y,0],[0,0,z]]] (D) (1)/(xyz)[[1,0,0],[0,1,0],[0,0,1]]

If x ,\ y ,\ z are non-zero real numbers, then the inverse of the matrix A=[x0 0 0y0 0 0z] , is [x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (b) x y z[x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (c) 1/(x y z)[x0 0 0y0 0 0z] (d) 1/(x y z)[1 0 0 0 1 0 0 0 1]

If a,b,c are real numbers such that 0 =8

" The inverse of the matrix "([1,0,0],[a,1,0],[b,c,1])" is "

Value of determinant |{:(0,b,-c),(-b,0,a),(c,-a,0):}| is equal to

If A=[(alpha, 0,0),(0,b,0),(0,0,c)] and a,b,c are non zero real numbers, then A^-1 is (A) 1/(abc) [(1,0,0),(0,1,0),(0,0,1)] (B) 1/(abc) [(a,0,0),(0,b,0),(0,c,0)] (C) 1/(abc) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)] (D) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)]

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. If A=[{:(4i-6,10i),(14i,6+4i):}] and K=(1)/(2i), where i= sqrt(-1). Th...

    Text Solution

    |

  2. If A is a square matrix, then the value of adj A^(T)-(adj A)^(T) is eq...

    Text Solution

    |

  3. If a,b,c are non-zero real numbers, then the inverse of the matrix A=[...

    Text Solution

    |

  4. The ad joint of the matrix A= [{:(1,0,2),(2,1,0),(0,3,1):}] is :

    Text Solution

    |

  5. If A=({:(-2,2),(2,-2):}), then which one of the following is correct ?

    Text Solution

    |

  6. The matrix A has x rows and x+5 columns The matrix B has y rows and 11...

    Text Solution

    |

  7. If alpha and beta are the roots of the equation 1+x+x^(2)=0, then the ...

    Text Solution

    |

  8. If A=[{:(cos alpha, sin alpha),(-sin alpha, cos alpha):}], then what i...

    Text Solution

    |

  9. The equations x+2y+3z=1 2x+y+3z=1 5x+5y+9z=4

    Text Solution

    |

  10. A=[{:(x+y, y),(x, x-y):}](2) B=[{:(3),(-2):}] and C=[{:(4),(-2):}], If...

    Text Solution

    |

  11. If A=[{:(cos theta,sin theta),(-sin theta,cos theta):}], then what is ...

    Text Solution

    |

  12. What is the order of : [xyz] [{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(...

    Text Solution

    |

  13. If A=[{:(1,0),(0,1):}]. Then the value of A^(4) is :

    Text Solution

    |

  14. What is [x y z ] [{:(a,h,g),(h,b,f),(g,f,c):}] equal to ?

    Text Solution

    |

  15. If m=[{:(1,0),(0,1):}] and n=[{:(0,1),(-1,0):}], then what is the valu...

    Text Solution

    |

  16. If f(x)=[{:(cos x, -sin x, 0),(sin x, cos x, 0),(0,0,1):}], then which...

    Text Solution

    |

  17. The values of k for which the system of equations kx+y+z=0,x-ky+z=0 an...

    Text Solution

    |

  18. If A=[{:(1,-1),(2,3):}] and B=[{:(2,3),(-1,-2):}] then which of the fo...

    Text Solution

    |

  19. Consider the following for the next two itmes that follow : For the ...

    Text Solution

    |

  20. Under what condition does the above system of equation have unique sol...

    Text Solution

    |