Home
Class 12
MATHS
If A and B are two square matrices of sa...

If A and B are two square matrices of same order satisfying AB=A and BA=B, then `B^2` is equal to `A` (B) `B` (C) `A^2` (D) none of these

A

B

B

A

C

I

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MOTION|Exercise Exercise - 2(Level-I) (Single correct Option - type Questions)|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 2(Level-II) (Multiple correct Option - type Questions)|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

Similar Questions

Explore conceptually related problems

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

If A and B are two matrices of order 3xx3 satisfying AB=A and BA=B , then (A+B)^(5) is equal to

If A and B are square matrics of the same order then (A+B)^2=?

If A and B are square matrics of the same order then (A-B)^2=?

If A and B are square matrics of the same order then (A+B)(A-B)=?

If A and B are square matrices of the same order such that AB=A and BA=B ,then (A^(2)+B^(2))=?

If A and B are two matrices of the same order; then |AB|=|A||B|

If A and B are any two matrices of the same order, then (AB)=A'B'

Let A , B are square matrices of same order satisfying AB=A and BA=B then (A^(2010)+B^(2010))^(2011) equals.

MOTION-MATRICES -Exercise - 1
  1. If [(1,x,1)][(1,3,2),(0,5,1),(0,3,2)][(x),(1),(-2)]=[0] then x is

    Text Solution

    |

  2. if A and B are two matrices such that AB=B and BA=A,then A^(2)+B^(2) i...

    Text Solution

    |

  3. If A and B are two square matrices of same order satisfying AB=A and ...

    Text Solution

    |

  4. If A=diag(2,-1,3), B=diag(-1,3,2)then A^(2)B

    Text Solution

    |

  5. <b>a. Row Matrix :</b> Matrix of order 1 xx m is called <b>row matrix<...

    Text Solution

    |

  6. If the matrix AB is a zero matrix, then which one of the following is ...

    Text Solution

    |

  7. Which relation is true for A =[(2,-1),(-1,2)] and B=[(1,4),(-1,1)] (1)...

    Text Solution

    |

  8. If A=[(a,b),(b,a)]and A^(2)=[(alpha,beta),(beta,alpha)], then -

    Text Solution

    |

  9. If A and B are square matrices of order n xx n such that A^2-B^2=(A-B)...

    Text Solution

    |

  10. If A=[(ab,b^2),(-a^2,-ab)], then A is

    Text Solution

    |

  11. A = [[2,-1],[-7,4]] & B =[[4,1],[7,2]] then B^TA^T is :

    Text Solution

    |

  12. If a non-singular matrix and A^(T) denotes the tranpose of A, then

    Text Solution

    |

  13. If A is skew-symmetric matrix, then trace of A is

    Text Solution

    |

  14. If A and B are symmetric matrices, then A B A is

    Text Solution

    |

  15. If A is a skew-symmetric matrix and n is an even natural number,...

    Text Solution

    |

  16. Which one of the following is wrong ?

    Text Solution

    |

  17. [{:(,1,2),(,2,1):}],[{:(,1,2),(,2,1):}]

    Text Solution

    |

  18. If A=[(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)], then adj ...

    Text Solution

    |

  19. If A is a squqre matrix such that A^(2)=l, then A^(-1) is equal to

    Text Solution

    |

  20. If A=[(3,-3,4),(2,-3,4),(0,-1,1)], then :

    Text Solution

    |