Home
Class 12
MATHS
If A ,B ,A+I ,A+B are idempotent matrice...

If `A ,B ,A+I ,A+B` are idempotent matrices, then `A B` is equal to a.`B A` b. `-B A` c. `I` d. `O`

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 and B are two square matrices of the same order, then (A-B)^(2) is equal to -

If A and B are two matrices such that AB = A and BA = B then B is equal to__

If B is an idempotent matrix, and A=I-B , then a. A^2=A b. A^2=I c. A B=O d. B A=O

If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a). 2a b c (b). 6a b c (c). 4a b c (d). none of these

If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B)^2 is equal to a. A^2+B^2 b. O c. A^2+2A B+B^2 d. A+B

If Z is an idempotent matrix, then (I+Z)^n I+2^n Z b. I+(2^n-1)Z c. I-(2^n-1)Z d. none of these

If A and B are two non-singular matrices such that A B=C ,t h e n,|B| is equal to a. (|C|)/(|A|) b. (|A|)/(|C|) c. |C| d. none of these

A skew-symmetric matrix A satisfies the relation A^2+I=O ,w h e r e , I is a unit matrix then A is a. idempotent b. orthogonal c. of even order d. odd order

If A,B,C are three square matrices of the same order, then A B=A C => B=Cdot Then |A|!=0 b. A is invertible c. A may be orthogonal d. is symmetric

CENGAGE PUBLICATION-MATRICES-All Questions
  1. If P (E) = 0.05, what is the probability of ‘not E’?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Which of the following in an orthogonal matrix

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

  12. Show that every square matrix A can be uniquely expressed as P+i Q ,wh...

    Text Solution

    |

  13. Express A as the sum of a Hermitian and a skew-Hermitian matrix, where...

    Text Solution

    |

  14. If A=([a(i j)])(nxxn) is such that ( a )(i j)=bar (a(j i)),AAi ,j and...

    Text Solution

    |

  15. Statement 1: If A is an orthogonal matrix of order 2, then |A|=+-1. ...

    Text Solution

    |

  16. Column I, Column II (I-A)^n is if A is idempotent, p. 2^(n-1)(l-...

    Text Solution

    |

  17. Evaluate P(AuuB) if 2P(A) = P(B) =5/13 and P(A/B) = 25

    Text Solution

    |

  18. Show that the solutions of the equation [(x,y),(z,t)]^2=0 are[(x,y),(...

    Text Solution

    |

  19. If A=[[-1, 1],[ 0,-2]] , then prove that A^2+3A+2I=Odot Hence, find ...

    Text Solution

    |

  20. If B ,C are square matrices of order na n difA=B+C ,B C=C B ,C^2=O , ...

    Text Solution

    |