Home
Class 11
MATHS
If A,B are two idempotent matrices and A...

If A,B are two idempotent matrices and `AB=BA=O` then `A+B` is

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES -EXERCISE - I|47 Videos

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES - EXERCISE - II|34 Videos

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.9 (Long Answer Questions)|9 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If B an idempotent matrix and A=I-B then AB =

If A,b are two square matrices such that AB=A,BA=B then A,B are

If A is idempotent matrix A+B=I then B is

If A and B are two symmetric matrices then AB + BA is

If A, B are two square matrices such that AB=B, BA=A and n in N then (A+B)^(n)=

If A, B are two invertible matrices of same type then (AB)^(-1)=

If A and B are symmetric matrices then ABA is

If A and B are two skew symmetric matrices of order n then

If A and B are two square matrices such that B=-A^(-1)BA then (A+B)^(2)=

AAKASH SERIES-MATRICES -ADDITIONAL EXERCISE
  1. If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A is

    Text Solution

    |

  2. If A=[(2,-2,-4),(-1,3,4),(1,-2,-3)] then A is

    Text Solution

    |

  3. If A,B are two idempotent matrices and AB=BA=O then A+B is

    Text Solution

    |

  4. If A is a square matrix then show that A+A^(T) and A A^(T) are symmetr...

    Text Solution

    |

  5. If 5A=[(3,-4),(4,x)] and "AA"^(T)=A^(T)A=I then x=

    Text Solution

    |

  6. If A, B are symmetric matrices of the same order then show that AB-BA ...

    Text Solution

    |

  7. A=[(1+i,2-3i,4),(7+2i,-i,3-2i)], find the conjugate of A.

    Text Solution

    |

  8. If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)], then show that A is ...

    Text Solution

    |

  9. If D=|(1,1,1),(1,1+x,1),(1,1,1+y)| for x!=0,y!=0 then D is

    Text Solution

    |

  10. If A=[a(ij)] is a scalar matrix of order nxxn such that a(ij)=k for al...

    Text Solution

    |

  11. If A is a 3xx3 matrix and det(3A)=k(detA) then k=

    Text Solution

    |

  12. If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...

    Text Solution

    |

  13. With the usual notation in DeltaABC det|(1,1,1),(sinA,sinB,sinC),(sin^...

    Text Solution

    |

  14. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|, Delta(2)=|(x,b),(a,x)| then

    Text Solution

    |

  15. Prove that |{:(1+a^(2)-b^(2),2ab,-2b),(2ab,1-a^(2)+b^(2),2a),(2b,-2a...

    Text Solution

    |

  16. If a!=p,b!=q,c!=r and |(p,b,c),(a,q,c),(a,b,r)|=0 then the value of P/...

    Text Solution

    |

  17. If a,b,c, are in A.P. then |(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|...

    Text Solution

    |

  18. Let the three digit number A28, 3B9,62C, where A,B,C are integers betw...

    Text Solution

    |

  19. If f(x)=|(1+sin^(2)x,cos^(2)x,4sin2x),(sin^(2)x,1+cos^(2)x,4sin2x),(si...

    Text Solution

    |

  20. If |(x(1),y(1),1),(x(2),y(2),1),(x(3),y(3),1)|=|(a(1),b(1),1),(a(2),b(...

    Text Solution

    |