Home
Class 12
MATHS
(-A)^(-1) is always equal to (where A is...

`(-A)^(-1)` is always equal to (where `A` is nth-order square matrix) a. `(-A)^(-1)` b. `-A^(-1)` c. `(-1)^nA^(-1)` d. none of these

Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

If A^3=O ,t h e nI+A+A^2 equals a. I-A b. (I+A^1)^(-1) c. (I-A)^(-1) d. none of these

If Aa n dB are symmetric and commute, then which of the following is/are symmetric? A^(-1)B b. A B^(-1) c. A^(-1)B^(-1) d. none of these

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) a. (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

If A is an orthogonal matrix then A^(-1) equals a. A^T b. A c. A^2 d. none of these

A is a square matrix such that A^(3)=I , then A^(-1) is equal to -

The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (0,1/e) (d) none of these

If A is order 2 square matrix such that |A|=2, then |(adj(adj(adjA)))| is a. 512 b. 256 c. 64 d. none of these

The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a) cot^(-1)x (b) cot^(-1)1/x (c) tan^(-1)x (d) none of these

If P is an orthogonal matrix and Q=P A P^T an dx=P^T Q^1000 P then x^(-1) is , where A is involutary matrix. A b. I c. A^(1000) d. none of these

The value of lim_(m->oo)(cos(x/m))^("m") is 1 (b) e (c) e^(-1) (d) none of these

CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A^3=O ,t h e nI+A+A^2 equals a.I-A b. (I+A^1)^(-1) c. (I-A)^(-1) d...

    Text Solution

    |

  2. Evaluate int (1)/((x+1)sqrt(x-2))dx.

    Text Solution

    |

  3. (-A)^(-1) is always equal to (where A is nth-order square matrix) a. (...

    Text Solution

    |

  4. The matrix X for which [[1,-4],[ 3,-2]]X=[[-16-,6],[ 7 ,2]] is a.[[-2,...

    Text Solution

    |

  5. If A=[(0,-tan (alpha/2)),(tan (alpha/2),0)] and I is 2 xx 2 unit matri...

    Text Solution

    |

  6. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

    Text Solution

    |

  7. If [[a, b],[ c,1-a]] is an idempotent matrix and f(x)=x-x^2 , bc=1/4 ...

    Text Solution

    |

  8. Let x be the solution set of equation A^x=I ,where A+[(0, 1,-1),(4,-3,...

    Text Solution

    |

  9. If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of al...

    Text Solution

    |

  10. Let a and b be two real numbers such that a > 1, b >1. If A=((a,0),(0,...

    Text Solution

    |

  11. Let f(x)=(1+x)/(1-x) . If A is matrix for which A^3=0,then f(A) is (a)...

    Text Solution

    |

  12. A and B are square matrices and A is non-singular matrix, then (A^(-1)...

    Text Solution

    |

  13. If A is a singular matrix, then adj A is

    Text Solution

    |

  14. The inverse of a diagonal matrix is a. a diagonal matrix              ...

    Text Solution

    |

  15. If P is non-singular matrix, then value of adj(P^(-1)) in terms of P i...

    Text Solution

    |

  16. If adjB=A ,|P|=|Q|=1, then. adj(Q^(-1)B P^(-1)) is a.P Q b. Q A P c...

    Text Solution

    |

  17. If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equa...

    Text Solution

    |

  18. If A(alpha,beta)=[[cosalpha,sinalpha,0],[-sinalpha,cosalpha,0],[ 0, 0,...

    Text Solution

    |

  19. If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B...

    Text Solution

    |

  20. A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...

    Text Solution

    |