Home
Class 12
MATHS
Given A = A=[{:(1,-1),(2,0):}],B= [(3,-2...

Given A = `A=[{:(1,-1),(2,0):}],B= [(3,-2),(1,1)] "and" " "C= [{:(1,1),(2,2):}]`, find a matrix X such that AXB = C.

Text Solution

Verified by Experts

The correct Answer is:
`=[[0,1],[0,0]]`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.2|11 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.3|8 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

Similar Questions

Explore conceptually related problems

Given A=[{:(1,-1),(2,0)],B=[(3,-2),(1,1)]andC[(1,1),(2,2):}] , find a matrix X such that AXB=C.

If A= [(2,1),(4,-2)] ,B= [(4,-2),(1,4)] and C= [(-2,-3),(1,2)] find (i)-2A+B+C

If A= [(2,1),(4,-2)] ,B= [(4,-2),(1,4)] and C= [(-2,-3),(1,2)] find (II)A+(B+C)

If A= [(2,1),(4,-2)] ,B= [(4,-2),(1,4)] and C= [(-2,-3),(1,2)] find (III)A-(3B-C)

Find matrix C if A =[{:(3,7),(2,5):}] , B =[{:(-3,2),(4,-1):}] and 5C+ 2B =A

Given the matrices a and B as A=[(1,-1),(4,-1)] and B=[(1,-1),(2,-2)] . The two matrices X and Y are such that XA=B and AY=B , then find the matrix 3(X+Y)

If A=[(3,1,2),(1,2,3)] ,B= [(1,0),(2,1),(1,1)] find AB and BA.

If A = [[1,2],[3,-5]] and B=[[1,0],[0,2]] and X is a matrix such that A=BX , then X=

PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -SOLUTION TO EXERCISE 1.1
  1. Find the adjoint of the following : [{:(-3,4),(6,2):}]

    Text Solution

    |

  2. Find the adjoint of the following : [[2,3,1],[3,4,1],[3,7,2]]

    Text Solution

    |

  3. Find the adjoint of the following : (1)/(3)[{:(2,2,1),(-2,1,2),(1,-2...

    Text Solution

    |

  4. Find the inverse (if it exists) of the following [{:(-2," "4),(1,-3)...

    Text Solution

    |

  5. Find the inverse (if it exists) of the following [{:(5,1,1),(1,5,1),...

    Text Solution

    |

  6. Find the inverse (if it exists) of the following [{:(2,3,1),(3,4,1),...

    Text Solution

    |

  7. If F(alpha)=[[cos alpha,0,sin alpha],[0,1,0],[-sin alpha,0,cos alpha]]...

    Text Solution

    |

  8. If A=[[5,3],[-1,-2]], show that A^(2)-3A-7I(2)=O(2) Hence find A^(-1).

    Text Solution

    |

  9. If A=(1)/(9)[{:(-8,1,4),(4,4,7),(1,-8,4):}],"prove that"" "A^(-1)=A^(T...

    Text Solution

    |

  10. If A=[{:(8,-4),(-5," "3):}], verify that A(adj A)= (adj A) A= |A|I(2).

    Text Solution

    |

  11. If A = [{:(3,2),(7,5):}] "and B" = [{:(-1,-3),(5,2):}] "verify that" (...

    Text Solution

    |

  12. If adj (A) = [{:(2,-4,2),(-3," "12,-7),(-2," "0,2):}], find A.

    Text Solution

    |

  13. If adj (A) = [{:(0,-2,0),(6,2,-6),(-3,0,6):}] "find" " "A^(-1).

    Text Solution

    |

  14. Find adj (adj(A)) if adj A = [{:(1,0,1),(0,2,0),(-1,0,1):}].

    Text Solution

    |

  15. A=[[1, tan x],[-tan x,1]], show that A^(T)A^(-1)=[[cos 2x,-sin 2x],[si...

    Text Solution

    |

  16. Find the matrix A for which A[{:(5,3),(-1,-2):}]= [(14,7),(7,7)].

    Text Solution

    |

  17. Given A = A=[{:(1,-1),(2,0):}],B= [(3,-2),(1,1)] "and" " "C= [{:(1,1),...

    Text Solution

    |

  18. If A= [{:(0,1,1),(1,0,1),(1,1,0):}], "show that" A^(-1)=(1)/(2)(A^(2)-...

    Text Solution

    |

  19. Decrypt the received encoded message [2,-3][20,4] with the encryption ...

    Text Solution

    |