Home
Class 12
MATHS
Matrix A=[[1, 0, -k], [2, 1, 3], [k, 0, ...

Matrix `A=[[1, 0, -k], [2, 1, 3], [k, 0, 1]]` is invertible for

A

`k=1`

B

`k=-1`

C

`k=0`

D

All real k

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    TARGET PUBLICATION|Exercise EVALUATION TEST|13 Videos
  • MATRICES

    TARGET PUBLICATION|Exercise CRITICAL THINKING (2.3 Application of matrices)|5 Videos
  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • MHT-CET 2019 QUESTION PAPER

    TARGET PUBLICATION|Exercise Binomial Distribution|1 Videos

Similar Questions

Explore conceptually related problems

The matrix [[1, a, 2], [1, 2, 5], [2, 1, 1]] is not invertible, if a=

The matrix [[lambda, -1, 4], [-3, 0, 2], [-1, 1, 2]] is invertible, if

The matrix [[lamda,1,0],[0,2,3],[0,0,lamda]] is invertible.

The value of lambda for which the matrix [(1,-2,-1),(2,lambda,3),(-1,0,3)] will not be invertible ,

The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

If the matrix [{:(alpha, 2,2),(-3,0,4),(1,-1,1):}] is not invertible then:

If the matrix [{:(alpha,2,2),(-3,0,4),(1,-1,1):}] is not invertible, then :

Consider the following statements in respect of the matrix A=[{:(0,1,2),(-1,0,-3),(-2,3,0):}] 1. The matrix A is skew-symmetric. 2. The matrix A is symmetric. 3. The matrix A is invertible. Which of the above statements is/are correct ?

(i) Show that the matrix A=[(1,-1,5),(-1,2,1),(5,1,3)] is a symmetric matrix. Show that the matrix A=[(0,1,-1),(-1,0,1),(1,-1,0)] is a skew symmetric matrix

TARGET PUBLICATION-MATRICES-COMPETITIVE THINKING (Inverse off a matrix )
  1. A=[(2,-2),(-2,2)], B=[(1,1),(1,1)] then

    Text Solution

    |

  2. If A=[(1,lambda,2),(1,2,5),(2,1,1)] is not invertible then lambda=?

    Text Solution

    |

  3. Matrix A=[[1, 0, -k], [2, 1, 3], [k, 0, 1]] is invertible for

    Text Solution

    |

  4. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

    Text Solution

    |

  5. IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...

    Text Solution

    |

  6. IF A=[(1,1,0),(2,1,5),(1,2,1)],then a(11) A(21) +a(12)+a(12)A(22)+a...

    Text Solution

    |

  7. Matrix A=[(1,2,3),(1,1,5),(2,4,7)], then the value of a(31)A(31)+a(32)...

    Text Solution

    |

  8. If X=[[-x, -y], [z, t]], then transpose of adjX is

    Text Solution

    |

  9. Let A=[(1,0,0),(5,2,0),(-1,6,1)], then the adjoint of A is

    Text Solution

    |

  10. if A=[[2,-3],[-4,1]] then (3A^2+12A)=?

    Text Solution

    |

  11. If A=[(1,-1,1),(0,2,-3),(2,1,0)],B=(adjA) and C=5A, then (|adjB|)/(|C|...

    Text Solution

    |

  12. If A=[{:(3,2),(1,4):}], then what is A (adj A) equal to ?

    Text Solution

    |

  13. If A=[(cos x, sin x),(-sin x,cos x)], then A(adj A)=

    Text Solution

    |

  14. If A=[(cos alpha,sin alpha),(-sin alpha,cos alpha)] and A. adj A=[(k,...

    Text Solution

    |

  15. If k is a scalar and l is a unit matrix of order 3 then adj(kl) is equ...

    Text Solution

    |

  16. If x is square materix of order 3xx3 and lambda is a scalar, then adj ...

    Text Solution

    |

  17. If A is a singular matrix, then adj A is a. singular b. non singula...

    Text Solution

    |

  18. If d is the determinant of a square matrix A of order n , then the ...

    Text Solution

    |

  19. If A={:[(4,2),(3,4)],:}" then: "|adj,A|=

    Text Solution

    |

  20. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

    Text Solution

    |