Home
Class 14
MATHS
Let A [{:(5,6,1),(2,-1,5):}], if there e...

Let A `[{:(5,6,1),(2,-1,5):}]`, if there exists a matrix B such that `AB =[{:(35,49),(29,13):}]`, then what is B equal to ?

A

A. `[(5,1,4),(2,6,3)]`

B

B. `[(2,6,3),(5,1,4)]`

C

C. `[(5,2),(1,6),(4,3)]`

D

D. `[(2,5),(6,1),(3,4)]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRIX

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|91 Videos

  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos

  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

Similar Questions

Explore conceptually related problems

Let A = [{:(5,6,1),(2,-1,5):}] . Let there exist a matrix B such that AB = [{:(35,49),(29,13):}] . What is B equal to ?

If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = [{:(2,3),(5,-1):}] , then AB is equal to

If A=[(1,-2,1),(2,lambda,-2),(1,3,-3)] be the adjoint matrix of matrix B such that |B|=9 , then the value of lambda is equal to

if A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),(1,-2),(2,-1):}], then find a matrix C such that 2A-B+c=0

Find a 2xx2 matrix B such that [[5,4],[1,1]] B=[[1,-2],[1,3]]

If A=[(3,5),(2,0)] and B=[(1,17),(0,-10)] then |AB| is equal to

Let A+2B=[{:(2,4,0),(6,-3,3),(-5,3,5):}] and 2A-B=[{:(6,-2,4),(6,1,5),(6,3,4):}] , then tr (A) - tr (B) is equal to (where , tr (A) =n trace of matrix x A i.e. . Sum of the principle diagonal elements of matrix A)

For a given square matrix A ,if there exists a matrix B such that AB=BA=1 then B is called inverse of A Every non - singular square matrix possesses inverse and it exists if |A|!=0,A^(-1)=(adj(A))/(det(A))rArr adjA=|A|(A^(-1)) Let a matrix A= [[2,3],[1,2]] then A^(-1) will be

If A is an invertible matrix and A^(-1)=[(3,5),(5,6)] then A=?

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. If A is a square matrix such that A^(2)=l where l is the identity matr...

    Text Solution

    |

  2. What is the order of : [xyz] [{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(...

    Text Solution

    |

  3. Then sum and product of matrices A and B exist. Which of the following...

    Text Solution

    |

  4. If A=[{:(1,2),(1,1):}] and B = [{:(0,-1),(1,2):}] , then what is the v...

    Text Solution

    |

  5. Consider the following statements with respect to the square matrices ...

    Text Solution

    |

  6. For what value of x does {:(1  {:3 &nbsp {:2:})({:(1,3,0),(3,0,2),(2,0...

    Text Solution

    |

  7. If the matrix A=[{:(2-x,1,1),(1,3-x,0),(-1,-3,-x):}] is singular then ...

    Text Solution

    |

  8. If A=[{:(alpha,0),(1,1)] and B=[{:(1,0),(2,1):}] such that A^(2)=B the...

    Text Solution

    |

  9. If A=[{:(3,1),(0,4):}] and B = [{:(1,1),(0,2):}], then which of the fo...

    Text Solution

    |

  10. If [{:(1,-3,2),(2,-8,5),(4,2, lamda):}] is not an invertible matrix, t...

    Text Solution

    |

  11. Consider the following statements. I. The inverse of the square matr...

    Text Solution

    |

  12. If the matrix A=[{:(alpha, beta),(beta,alpha):}] is such that A^(2)=I,...

    Text Solution

    |

  13. Let A and B matrices of order 3xx3 If AB=0. then which of the followin...

    Text Solution

    |

  14. Consider the following statements in respect of a square matrix A and ...

    Text Solution

    |

  15. If A=[{:(0,1),(-1,0):}] B=[{:(i,0),(0,-i):}] C=[{:(0,-i),(-i,0):}] the...

    Text Solution

    |

  16. If A is a square matrix, then the value of adj A^(T)-(adj A)^(T) is eq...

    Text Solution

    |

  17. If a matrix A is such that 3A^(3)+2A^(2)+5A+1=0. Then A^(-1) is equal ...

    Text Solution

    |

  18. Let A [{:(5,6,1),(2,-1,5):}], if there exists a matrix B such that AB ...

    Text Solution

    |

  19. Consider the following statements: I. If A=A. then A is singular mat...

    Text Solution

    |

  20. Let A=[(1,2),(3,4)], [a(ij)] where I,j =1,2. If its inverse matrix is ...

    Text Solution

    |