Home
Class 12
MATHS
If A is an invertible matrix, then (a d...

If `A` is an invertible matrix, then `(a d jdotA^(-1))` is equal to a.`[a d jdot(A^(-1))]` b. `A/(d e tdotA)` c. `A` d. `(detA)A`

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

If A is a nilpotent matrix of index 2, then for any positive integer n ,A(I+A)^n is equal to (a) A^(-1) (b) A (c) A^n (d) I_n

If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b. 1 c. |A| d. none of these

lim_(x->oo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0 (c) e/(e^(1-e)) (d) does not exist

If a,b,c,d,e are in A.P., then the value of (a+b+5c-5d+e) in terms of a is-

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

int e^(tan^(-1)x)(1+x+x^2)d(cot^(-1)x) is equal to (a) -e^(tan^(-1)x)+c (b) e^(tan^(-1)x)+c (c) -xe^(tan^(-1)x)+c (d) xe^(tan^(-1)x)+c

If a/b=c/d=e/f=3/4 , then (a+c-e)/(b+d-f) is:

If A is a non-singular matrix such that A A^T=A^T A and B=A^(-1)A^T , the matrix B is a. involuntary b. orthogonal c. idempotent d. none of these

("lim")_(ntooo)1/(1+nsin^2n x) is equal to (a) -1 (b) 0 (c) 1 (d) oo

CENGAGE PUBLICATION-MATRICES-All Questions
  1. If [(1,0,0),(0,1,0),(0,0,1)][(x),(y),(z)]=[(1),(-1),(0)] , find x ,\ y...

    Text Solution

    |

  2. Which of the following statements is/are true about square matrix A or...

    Text Solution

    |

  3. If A is an invertible matrix, then (a d jdotA^(-1)) is equal to a.[a ...

    Text Solution

    |

  4. If A=(a(i j))(nxxn) and f is a function, we define f(A)=((f(a(i j))))(...

    Text Solution

    |

  5. Suppose a1, a2, are real numbers, with a1!=0. If a1, a2,a3, are in A...

    Text Solution

    |

  6. If A,B,C are three square matrices of the same order, then A B=A C =>...

    Text Solution

    |

  7. Let A=[1 0 1 1] . Then which of following is not true? (lim)(nvecoo)1/...

    Text Solution

    |

  8. If alpha,beta,gamma are real numbers, then without expanding at any...

    Text Solution

    |

  9. The matrix A=[(-5,-8,0),(3,5,0),(1,2,-1)] is (A) idempotent mat...

    Text Solution

    |

  10. If P (E) = 0.05, what is the probability of ‘not E’?

    Text Solution

    |

  11. If A=[[a,b],[c,d]] (where b c!=0 ) satisfies the equations x^2+k=0,t h...

    Text Solution

    |

  12. If A ,B ,A+I ,A+B are idempotent matrices, then A B is equal to a.B A ...

    Text Solution

    |

  13. Given the matrix A=[[x,3,2],[1,y,4],[2,2,z]]. If xyz=60 and 8x+4y+3z=2...

    Text Solution

    |

  14. Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-...

    Text Solution

    |

  15. Which of the following in an orthogonal matrix

    Text Solution

    |

  16. If k in Ro then det{adj(k In)} is equal to (A) K^(n-1) (B) K^((n-1)...

    Text Solution

    |

  17. If A1, A2, , A(2n-1) are n skew-symmetric matrices of same order, th...

    Text Solution

    |

  18. Let A=[[1 ,2 ,3],[ 2, 0, 5],[ 0 ,2 ,1]] and B=[[0],[-3],[1]] . Which ...

    Text Solution

    |

  19. Column I, Column II If |A|=2,t h e n|2A^(-1)=(w h e r eA is of orde...

    Text Solution

    |

  20. A=[[0 ,1],[ 3 ,0]]a n d(A^8+A^6+A^4+A^2+I) V=[[0] ,[11]](w h e r e I i...

    Text Solution

    |