Home
Class 12
MATHS
If A is an mxxn matrix and B is nxxp mat...

If `A` is an `mxxn` matrix and `B` is `nxxp` matrix does `A B` exist? If yes, write its order.

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

If A is an invertible matrix and B is a matrix, then

If A is any mxn matrix and B is a matrix such that AB and BA are both defined, then B is a matrix of order

If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are both defined, then order of B is

If B is an idempotent matrix, and A=I-B , then

If A is a 3x3 matrix and B is its adjoint matrix the determinant of B is 64 then determinant of A is

If A is 2xx3 matrix and B is a matrix such that A^T\ B and B A^T both are defined, then what is the order of B ?

If A is matrix of order mxxn and B is a matrix such that AB' and B'A are both defined , then order of matrix B is

If A is a matrix of order [x- 1] xx 3 and B is matrix of order 3 xx [y-2] ,where [ ] represent greatest integer function, such that AB is a matrix of order 4xx5 then

If A is a matrix of order 3xx4 and B is a matrix of order 4xx3 , find the order of the matrix of A Bdot

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. Express the matrix A=[[3,-4], [1,-1]] as the sum of a symmetric and a ...

    Text Solution

    |

  2. Express the matrix A=[[3,-2,-4], [3,-2,-5],[-1, 1, 2]] as the sum of a...

    Text Solution

    |

  3. If A is an mxxn matrix and B is nxxp matrix does A B exist? If yes, wr...

    Text Solution

    |

  4. If A=[[2, 1, 4], [4, 1, 5]] and B=[[3,-1], [2, 2], [1,3]] . Write the ...

    Text Solution

    |

  5. If A=[[4, 3], [1 ,2]] and B=[[-4], [3]] , write A B .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |