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

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

Give an example of two matrices A and B such that A!=O ,\ \ B!=O ,\ \ A B=O and B A!=O (ii) A!=O ,\ \ B!=O ,\ \ A B=B A=O .

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

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

A and B are two non-zero square matrices such that AB = O . Then,

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

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

Give two examples of Non-luminous objects

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

Let A and B are two non - singular matrices of order 3 such that |A|=3 and A^(-1)B^(2)+2AB=O , then the value of |A^(4)-2A^(2)B| is equal to (where O is the null matrix of order 3)

Let A and B are two non - singular matrices of order 3 such that A+B=2I and A^(-1)+B^(-1)=3I , then AB is equal to (where, I is the identity matrix of order 3)

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A=[[4, 3], [1 ,2]] and B=[[-4], [3]] , write A B .

    Text Solution

    |

  2. If A=[[1, 2, 3]] , write A A^T .

    Text Solution

    |

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

    Text Solution

    |

  4. If A=[[2, 3], [5, 7]] , find A+A^T .

    Text Solution

    |

  5. If A=[[i,0], [0,i]] , write A^2 .

    Text Solution

    |

  6. If A=[[cosx,sinx],[-sinx,cosx]] , when A + A^T= I find x satisfying 0 ...

    Text Solution

    |

  7. If A=[[cosx,-sinx],[sinx,cosx]] , find A A^T

    Text Solution

    |

  8. If [[1 ,0],[y,5]]+2[[x,0], [1,-2]]=I , where I is 2xx2 unit matrix. Fi...

    Text Solution

    |

  9. If matrix A=[[1,-1],[-1 ,1]] and A^2=k A , then write the value of k

    Text Solution

    |

  10. If A=[[1, 1], [1, 1]] satisfies A^4=lambdaA , then write the value of ...

    Text Solution

    |

  11. If A=[[-1, 0 ,0], [0,-1, 0], [0, 0,-1]] , find A^2 .

    Text Solution

    |

  12. If A=[[-1, 0, 0], [0,-1, 0], [0, 0,-1]] , find A^3 .

    Text Solution

    |

  13. If A=[[-3, 0], [0,-3]] , find A^4 .

    Text Solution

    |

  14. If [[x,2]][[3],[ 4]]=2, find x

    Text Solution

    |

  15. If A=[a(i j)] is a 2xx2 matrix such that a(i j)=i+2j , write A .

    Text Solution

    |

  16. Find a matrix A ,ifA+[[2, 3],[-1, 4]]=[[3,-6],[-3, 8]]

    Text Solution

    |

  17. If A=[a(i j)] is a square matrix such that a(i j)=i^2-j^2 , then wr...

    Text Solution

    |

  18. For any square matrix write whether AA^T is symmetric or skew-symm...

    Text Solution

    |

  19. If A=[a(i j)] is a skew-symmetric matrix, then write the value of s...

    Text Solution

    |

  20. If A=[a(i j)] is a skew-symmetric matrix, then write the value of s...

    Text Solution

    |