Home
Class 14
MATHS
If, A and B be two matrices such that AB...

If, A and B be two matrices such that AB = A and BA=B. Then. Which of the following statements are correct ?
1. `A^(2)=A`
2. `B^(2)=B`
3. `(AB)^(2)=AB`

A

1 and 2

B

2 and 3

C

1 and 3

D

1,2 and 3

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATRIX

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|91 Videos
  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos
  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two matrices such that AB = A and BA = B. Which of the following statements are correct ? 1. A^(2) = A 2. B^(2)=B 3. (AB)^(2)=AB Select the correct answer using the code given below :

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

If A and B are 3times3 matrices such that AB=A and BA=B, then

If A and B are two matrices such that A+B =AB , then

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

If A and B are two square matrices such that AB=A and BA=B , then A^(2) equals

if A and B are two matrices such that AB=B and BA=A,then A^(2)+B^(2) is equal to

If A and B are two square matrices of order 3xx3 which satify AB=A and BA=B , then Which of the following is true ?

If AB=A and BA=B then B^(2)=

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. v34

    Text Solution

    |

  2. If A and B are two matrices of order 2 and det (A) is 3, det (B) is -1...

    Text Solution

    |

  3. If, A and B be two matrices such that AB = A and BA=B. Then. Which of ...

    Text Solution

    |

  4. If the matrix A is such that ({:(1,3),(0,1):})A=({:(1,1),(0,-1):}), th...

    Text Solution

    |

  5. If A is invertible matrix. Then what is det (A^(-1)) equal to ?

    Text Solution

    |

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

    Text Solution

    |

  7. If A=({:(4,x+2),(2x-3,x+1):}) is symmetric, then what is x equal to ?

    Text Solution

    |

  8. Consider the following statements in respect of the matrix A=[{:(0,1,2...

    Text Solution

    |

  9. Consider two matrices A=[{:(1,2),(2,1),(1,1):}] and B =[{:(1,2,-4),(2,...

    Text Solution

    |

  10. If A is any matrix. Then the product AA is defied only when A is a mat...

    Text Solution

    |

  11. If [{:(2,3),(4,1)]xx[{:(5,-2),(-3,1)]=[{:(1,-1),(17,lamda):}] then wha...

    Text Solution

    |

  12. If A[{:(i,0),(0,-i)]B=[{:(0,-1),(1,0)] and C =[{:(0,i),(i,0):}] where ...

    Text Solution

    |

  13. Consider the following statements: I. The product of two non-zero ma...

    Text Solution

    |

  14. Consider the following statements : I. The matrix ({:(1,2,1),(2,2a,1...

    Text Solution

    |

  15. If 2A=[{:(2,1),(3,2):}] then what is A^(-1) equal to ?

    Text Solution

    |

  16. If A and B are two non-singular square matrices such that AB=A. then w...

    Text Solution

    |

  17. If A=[{:(3,4),(5,6),(7,8):}] and B =[{:(3,5,7),(4,6,8):}], then Which ...

    Text Solution

    |

  18. The inverse of a diagonal matrix is a:

    Text Solution

    |

  19. If the matrix [{:(alpha, 2,2),(-3,0,4),(1,-1,1):}] is not invertible t...

    Text Solution

    |

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

    Text Solution

    |