Home
Class 12
MATHS
For the non singular matrix A,(adjA)^(-1...

For the non singular matrix `A,(adjA)^(-1)=(adjA^(-1))`

Text Solution

Verified by Experts

The correct Answer is:
True
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS |6 Videos
  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |4 Videos
  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (Type-II : (Fill in the blanks questions))|32 Videos
  • LINEAR PROGRAMMING

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |7 Videos
  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -D )|6 Videos

Similar Questions

Explore conceptually related problems

True or False statements : For a non-singular matrix A, (A')^-1 = (A^-1)' .

If A is a non - singular matrix then

If A is an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A^T," then " B B^T equals

If S is a real skew-symmetric matrix, then prove that I-S is non-singular and the matrix A=(I+S)(I-S)^(-1) is orthogonal.

If P is non-singular matrix, then value of adj (P^(-1)) in terms of P is P//|P| b. P|P| c. P d. none of these

A square non-singular matrix A satisfies A^2-A+2I=0," then "A^(-1) =

If 3, – 2 are the eigen values of a non-singular matrix A and |A| = 4 , find the eigen values of adj(A)

ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-III : (True or false questions))
  1. If two matrices A and B are of the same order, then 2A+B=B+2A .

    Text Solution

    |

  2. Matrix subtraction is associative

    Text Solution

    |

  3. For the non singular matrix A,(adjA)^(-1)=(adjA^(-1))

    Text Solution

    |

  4. AB=ACimplies B=C for any three matrices of same order .

    Text Solution

    |

  5. A matrix denotes a number

    Text Solution

    |

  6. Matrices of any order can be added .

    Text Solution

    |

  7. Two matrices are equal if they have same number of rows and same numbe...

    Text Solution

    |

  8. Matrices of different order can not be subtracted .

    Text Solution

    |

  9. Matrix addition is associative as well as commutative .

    Text Solution

    |

  10. Matrix multiplication is commutative .

    Text Solution

    |

  11. A square matrix where every element is unity is called an identity mat...

    Text Solution

    |

  12. If A and B are two square matrices of the same order, then A+B=B+A .

    Text Solution

    |

  13. If A and B are two matrices of the same order, then A-B=B-A .

    Text Solution

    |

  14. If matrix AB=O, then A=O or B=O or both A and B are null matrices .

    Text Solution

    |

  15. Transpose of a column matrix is a column matrix .

    Text Solution

    |

  16. If A and B are two square matrices of the same order, then AB=BA .

    Text Solution

    |

  17. If each of the three matrices of the same order are symmetric then the...

    Text Solution

    |

  18. If A and B are two square matrices of the same order, then AB=BA .

    Text Solution

    |

  19. If (AB)=B'A' , where A and B are not square matrices, then number of r...

    Text Solution

    |

  20. If A, B and C are square matrices of same order, then AB=AC always imp...

    Text Solution

    |