Home
Class 12
MATHS
Give an example of two non-zero 2xx2 ...

Give an example of two non-zero `2xx2` matrices `A` and `B` such that `A B=O` .

Text Solution

Verified by Experts

`A=[{:(3,5),( 0,0):}] ne0`
`AB=[{:(0,0),(0,0):}]=0` Hence proved
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT EXEMPLAR|Exercise Linear Programming|45 Videos

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Probability|107 Videos

Similar Questions

Explore conceptually related problems

Give an example of two non-zero 2xx2 matrices A and B such that AB=O .

Give an example of two matrices A and B such that A!=O,B!=O,AB=O and BA!=O (ii) A!=O,quad B!=O,AB=BA=O

Give an example of a 2xx2 (non-zero) matrix A,B,C such that

Give examples of matrices A and B such that AB=O but BA!=O. (ii) A,B and C such that AB=AC but B!=C,A!=O

Give examples of matrices A and B such that AB!=BA.( ii) A and B such that AB=O but A!=O,B!=O

Give an example of three matrices A,B,C such that AB=AC but B!=C .

If A and Bare two non-zero square matrices of the same order, such that AB=0, then (a) at least one of A and B is singular (b) both A and B are singular (c) both A and B are non-singular (a) none of these

Give examples of two square matrices A and B of the same order for which AB=0, but BA!=0

Suppose A and B are two non-singular matrices of order n such that AB=BA^(2) and B^(5)=I ,then which of the following is correct

If A and B are two nonzero square matrices of the same order such that the product AB=O , then

NCERT EXEMPLAR-MATRICES-Matrices
  1. A=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1),(2,3),(1,2):}] Verify AB=BA or...

    Text Solution

    |

  2. If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2,1,2),(1,2,4):}] , then verify...

    Text Solution

    |

  3. Give an example of two non-zero 2xx2 matrices A and B such that A B...

    Text Solution

    |

  4. Given A=[{:(2,4,0),(3,9,6):}] "and" B=[{:(1,4),(2,8),(1,3):}], is (AB)...

    Text Solution

    |

  5. Solve for x and y , x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=0.

    Text Solution

    |

  6. If X and Y are 2xx2 matrices, then solve the following matrix equat...

    Text Solution

    |

  7. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

    Text Solution

    |

  8. Give an example of three matrices A ,\ B ,\ C such that A B=A C but...

    Text Solution

    |

  9. If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}],...

    Text Solution

    |

  10. If P=[{:(x,0,0),(0,y,0),(0,0,z):}] and Q=[{:(a,0,0),(0,b,0),(0,0 ,c):}...

    Text Solution

    |

  11. If [2 1 3] [{:(-1,0,-1),(-1,1,0),(0,1,1):}][{:(1),(0),(-1):}]=A, then ...

    Text Solution

    |

  12. If A=[{:(2, 1,),(4,2,)],B =[{:(2,3,4),(1,4,0):}] and C=[{:(-1,2,1),(1,...

    Text Solution

    |

  13. If A=[{:(1,0,-1),(2,1,3),(0,1, 1):}] then verify that A^(2)+A=(A+I) , ...

    Text Solution

    |

  14. If A=[{:(0,-1,2),(4,3,-4):}] and B=[{:(4,0),(1,3),(2,6):}] then verify...

    Text Solution

    |

  15. If A=[{:(1,2),(4,1),(5,6):}] and B=[{:(1,2),(6,4),(7,3):}], then varif...

    Text Solution

    |

  16. Show that A' A and A A' are both symmetric matrices for any matrix A.

    Text Solution

    |

  17. Let A and B be square matrices of the order 3xx3 . Is (A B)^2=A^2B^...

    Text Solution

    |

  18. Show that , if A and B are square matrices such that AB=BA, then (A+B)...

    Text Solution

    |

  19. If A=[{:(1,2),(-1,3):}]B=[{:(4,0),(1,5):}],C=[{:(2,0),(1,-2):}] a=4 an...

    Text Solution

    |

  20. If A=[{:(cos q,sin q),(-sin q, cos q):}] , then variefy that A^(2)=[{:...

    Text Solution

    |