Home
Class 12
MATHS
If A is a 3 xx 4 matrix and B is a matri...

If `A` is a `3 xx 4` matrix and B is a matrix such that `A'B` and `AB'` are both defined, then the order of the matrix B is

A

`3xx4`

B

`3xx3`

C

`4xx4`

D

`4xx3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2022 TERM 2 SET 5

    XII BOARDS PREVIOUS YEAR|Exercise SECTION C (CASE STUDY PROBLEM)|1 Videos
  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 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 a 3xx4 matrix and B is matrix such that A^(T)B and BA^(T) are both define then order of B is :

If A is a 3xx4 matrix and B is matrix such that A^(T)B and BA^(T) are both define then order of B is :

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

If A is a matrix of order m xx n and B is a matrix such that AB^(T) and B^(T)A are both defined,then the order of matrix B is m xx n (b) n xx n( c) n xx m(d)m xx n

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

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

Knowledge Check

  • If A is 3xx4 matrix and B is a matrix such that A'B and BA' are both defined. Then B is of the type

    A
    `3xx4`
    B
    `3xx3`
    C
    `4xx4`
    D
    `4xx3`
  • 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

    A
    `3xx4`
    B
    `3xx3`
    C
    `4xx4`
    D
    `4xx3`
  • If A is a mtimesn matrix and B is a matrix such that both AB and BA are defined, then the order of B is

    A
    `mtimesm`
    B
    `ntimesn`
    C
    `mtimesn`
    D
    `ntimesm`
  • XII BOARDS PREVIOUS YEAR-QUESTION PAPER 2023-Question
    1. If A is a 3 xx 4 matrix and B is a matrix such that A'B and AB' are bo...

      Text Solution

      |

    2. If the area of a triangle with vertices (2,-6) ,(5,4) and (k,4) is 35 ...

      Text Solution

      |

    3. If f(x)=2 abs(x) + 3 abs(sin x) +6, then then right hand derivative of...

      Text Solution

      |

    4. If x[(1),(2)]+y[(2),(5)]=[(4),(9)] then :

      Text Solution

      |

    5. If a matrix A=[(1,2,3)], then the matrix A A' (where A' is the transpo...

      Text Solution

      |

    6. The product [(a,b),(-b,a)][(a,-b),(b,a)] is equal to

      Text Solution

      |

    7. Distance of the point (p,q,r) from y-axis is

      Text Solution

      |

    8. The solution set of the inequation 3x+5y lt 7 is

      Text Solution

      |

    9. If int0^a 3x^2dx=8, then the value of a is

      Text Solution

      |

    10. The sine of the angle between the vectors veca=3hati+hatj+2hatk and ve...

      Text Solution

      |

    11. The order and degree (if defined) of the differential equation, ((d^2...

      Text Solution

      |

    12. int e^(5logx)dx is equal to

      Text Solution

      |

    13. A unit vector along the vector 4hati-3hatk is

      Text Solution

      |

    14. Which of the following points satisfies both the inequalities 2x+y le1...

      Text Solution

      |

    15. If y=sin^2 (x^3), then (dy)/(dx) is equal to

      Text Solution

      |

    16. The point (x,y,0) on the xy-plane divides the line segment joining the...

      Text Solution

      |

    17. The events E and F are independent. If P(E)=0.3 and P(E uu F)=0.5, the...

      Text Solution

      |

    18. The integrating factor for solving the differential equation x (dy)/(...

      Text Solution

      |

    19. Assertions (A) :The line vecr=vec(a1)+lamda vec (b1) and vecr=vec(a2)+...

      Text Solution

      |

    20. Assertions (A): All trigonometric functions have their inverses over t...

      Text Solution

      |