Home
Class 12
MATHS
Find a 2xx2 matrix B such that B[(1,-2...

Find a `2xx2` matrix `B` such that `B[(1,-2),( 1, 4)]=[(6, 0),( 0, 6)]` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA ENGLISH|Exercise All Questions|410 Videos

Similar Questions

Explore conceptually related problems

Find a 2xx2 matrix A such that A[(1,-2),( 1, 4)]=6I_2 .

Find a 2x2 matrix B such that B[1-2 1 4]=[6 0 0 6]

Find a 2xx2 matrix B such that [[6,5],[5,6]] B=[[11,0],[0,11]]

Find the matrix A such that : [(1 ,0 ),(0 ,1)]A=[(3 ,3 ,5 ),(1, 0 ,1)] (ii) A[(1, 2, 3 ),(4, 5 ,6)]=[(-7,-8,-9 ),(2, 4 ,6)]

Find a matrix B of order 2xx2 such that : [{:(1,1),(-2,3):}]B=[{:(3,4),(-1,2):}]

Find a matrix A such that 2A-3B+5C=O , where B=[[-2, 2, 0],[ 3, 1 ,4]] and C=[[2, 0,-2], [7, 1, 6]] .

Given A=[{:(,1,4),(,2,3):}] and B=[{:(,-4,-1),(,-3,-2):}] (i) find the matrix 2A+B. (ii) find a matrix C such that : C+B=[{:(,0,0),(,0,0):}]

Find a matrix X such tht 3A-2B+X=0, where A=[[4,2],[1,3]] , B= [[-2,1], [3,2]]

Find a matrix X such that A+2B+X=0 where A= [[2,-1],[3,5]], B[[-1,1],[0,2]]

the order of the single matrix obtained from [(1,-1),(0,2),(2,3)] {[(-1,0,2),(2,0,1)]-[(0,1,23),(1,0,21)]} is (A) 2xx3 (B) 2xx2 (C) 3xx2 (D) 3xx3

RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
  1. Show that the matrix A=[[1 ,2, 2],[ 2, 1, 2],[ 2, 2, 1]] satisfies the...

    Text Solution

    |

  2. If A=[[1,-1, 1],[ 2,-1, 0],[ 1, 0, 0]] , show that A^(-1)=A^2 .

    Text Solution

    |

  3. Find a 2xx2 matrix B such that B[(1,-2),( 1, 4)]=[(6, 0),( 0, 6)] .

    Text Solution

    |

  4. Find the matrix A satisfying the matrix equation [(2, 1),( 3, 2)]A...

    Text Solution

    |

  5. Find the matrix X for which [(1,-4) ,(3,-2)]X=[(-16,-6),( 7, 2)] .

    Text Solution

    |

  6. If A=[[0 ,1 ,3],[ 1, 2,x],[2, 3, 1]] and A^(-1)=[[1//2,-4 ,5//2],[-1//...

    Text Solution

    |

  7. If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1...

    Text Solution

    |

  8. If matrix A=[(0, 2,y),( z, x, y),(-z, x-y, z)] satisfies A^T=A^(-1) ...

    Text Solution

    |

  9. Find the matrix A such that |A|=2 and a d j\ A=[[2, 2, 0],[ 2, 5, 1],[...

    Text Solution

    |

  10. If A is a non-singular matrix, prove that: a d j\ (A) is also no...

    Text Solution

    |

  11. If A is a non-singular matrix, prove that (a d j\ A)^(-1)=(a d j\ A...

    Text Solution

    |

  12. Find the non-singular matrices A , if it is given that a d j\ (A)=[...

    Text Solution

    |

  13. If A=[(2,-1, 1),(-1, 2,-1),( 1,-1, 2)] , find (a d j\ A)^(-1) and (a...

    Text Solution

    |

  14. Let A be a non-singular matrix. Show that A^T A^(-1) is symmetric i...

    Text Solution

    |

  15. Find the adjoint of the following matrices: [(-3, 5),( 2, 4)] Verif...

    Text Solution

    |

  16. Find the adjoint of the following matrices: [(cosalpha,sinalpha),(si...

    Text Solution

    |

  17. Compute the adjoint of each of the following matrices: [[1, 2, 2],[ ...

    Text Solution

    |

  18. For the matrix A=[[1,-1, 1],[ 2 ,3, 0 ],[18 ,2 ,10]] , show that A(a d...

    Text Solution

    |

  19. If A=[[-4,-3,-3],[ 1, 0 ,1],[ 4 ,4, 3]] , show that a d j\ A=A .

    Text Solution

    |

  20. If A=[(-1,-2,-2 ),(2, 1,-2),( 2,-2 ,1)] , show that a d j\ A=3A^T .

    Text Solution

    |