Home
Class 12
MATHS
If A is 3xx4 matrix and B is a matrix su...

If `A` is `3xx4` matrix and `B` is a matrix such that `A^T B` and `B A^T` are both defined. Then, `B` is of the type (a) `3xx4` (b) `3xx3` (c) `4xx4` (d) `4xx3`

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 a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are both defined, then order of B 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 an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A^T," then " B B^T equals

A and B are two given matrices such that the order of A is 3 xx 4 if A'Band BA' are both defined then

If A is 3xx3 matrix and |A|=4 , then |A^(-1)| is equal to

Let A and B be two matrices such that the order of A is 5xx7 . If A^(T)B and BA^(T) are both defined, then (where A^(T) is the transpose of matrix A)

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

A matrix A of order 3xx3 is such that |A|=4 . Find the value of |2A| .

If A is a square matrix of order 2xx2 and B=[(1,2),(3, 4)] , such that AB=BA , then A can be

If A and B are two matrices of the order 3 xx m and 3 xx n , respectively and m= n, then order of matrix (5A-2B) is (a) m xx 3 (b) 3 xx 3 (c) m xx n (d) 3 xx n

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A and B are symmetric matrices, then A B A is (a) symmetric m...

    Text Solution

    |

  2. If A=[(5,x),( y,0)] and A=A^T , then a) x=0,\ \ y=5 (b) x+y=5 (c)...

    Text Solution

    |

  3. If A is 3xx4 matrix and B is a matrix such that A^T B and B A^T are bo...

    Text Solution

    |

  4. If A=[a(i j)] is a square matrix of even order such that a(i j)=i^2-...

    Text Solution

    |

  5. If A=[costheta-sinthetasinthetacostheta] , then A^T+A=I2 , if theta=np...

    Text Solution

    |

  6. If A=[(2, 0,-3),( 4, 3, 1),(-5, 7, 2)] is expressed as the sum of a s...

    Text Solution

    |

  7. Out of the following matrices, choose that matrix which is a scalar...

    Text Solution

    |

  8. The number of all possible matrices of order 3xx3 with each entry 0...

    Text Solution

    |

  9. Which of the given values of x and y make the following pairs ...

    Text Solution

    |

  10. If A=[(0, 2),( 3,-4)] and k A=[(0, 3a),(2b, 24)] , then the values o...

    Text Solution

    |

  11. If I=[(1 ,0),( 0, 1)] , J=[(0, 1),(-1 ,0)] and B=[(costheta,sintheta...

    Text Solution

    |

  12. The trace of the matrix A=[(1,-5, 7),( 0, 7, 9),( 11 ,8, 9)] is (...

    Text Solution

    |

  13. If A=[a(i j)] is a scalar matrix of order nxxn such that a(i i)=k f...

    Text Solution

    |

  14. The matrix A=[[0, 0, 4] ,[0 ,4, 0] ,[4 ,0, 0]] is a (a) square matrix...

    Text Solution

    |

  15. The number of possible matrices of order 3xx3 with each entry 2 or ...

    Text Solution

    |

  16. If [2x+y,4x,5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , ...

    Text Solution

    |

  17. If A is a square matrix such that A^2=I , then (A-I)^3+(A+I)^3-7A is...

    Text Solution

    |

  18. If A and B are two matrices of the order 3 xx m and 3 xx n, respective...

    Text Solution

    |

  19. If A is a matrix of order mxxn and B is a matrix such that A B^T and B...

    Text Solution

    |

  20. If A and B are matrices of the same order, then A B^T-B A^T is a (a)...

    Text Solution

    |