Home
Class 12
MATHS
FindA, if [{:(4),(1),(3):}]A=[{:(-4,8,4)...

FindA, if `[{:(4),(1),(3):}]A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]`

Text Solution

Verified by Experts

We have, `[{:(4),(1),(3):}]_(3xx1)A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]_(3xx3)`
`rArr [{:(4x,4y,4z),(x,y,z),(3x,3y,3z):}]=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]` lt
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT EXEMPLAR|Exercise Linear Programming|45 Videos

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Probability|107 Videos

Similar Questions

Explore conceptually related problems

The order of the matrices [{:(1,2,3),(4,5,-1):}], [{:(2,4),(9,2),(6,3),(4,1):}] , [{:(4,5,6),(3,2,1),(9,8,7):}] respectively are :

Given A=[{:(2,4,0),(3,9,6):}] "and" B=[{:(1,4),(2,8),(1,3):}] , is (AB)=B'A'?

Determine the matrix A, when A=4[{:(1,2,3),(-1,-2,-3),(4,2,6):}]+2[{:(5,4,1),(3,2,4),(3,8,2):}]

If [[4],[1],[3]] X= [[-4,8,4],[-1,2,1],[-3,6,3]] , find X.

If A({:(1,3,4),(3,-1,5),(-2,4,-3):})=({:(3,-1,5),(1,3,4),(+4,-8,6):}) , then A=

|{:(1/3, 4),((-1)/6,3/2):}|=

If A={1,2,3},B={3,4}and C={4,5,6}, "then prove that" (AxxB)uu(AxxC) ={(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5 ),(2,6),(3,3),(3,4),(3,5),(3,6)}

There are three relations R_(1) , R_(2) and R_(3) such that R_(1) = {(2,1),(3,1),(4,2)} , R_(2) = {(2,2),(2,4),(3,3),(4,4)} and R_(3) = {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} then

NCERT EXEMPLAR-MATRICES-Matrices
  1. Show that A =[{:(5,3),(-1,-2):}] satisfies the equation A^(2)-3A-7I=0 ...

    Text Solution

    |

  2. if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?

    Text Solution

    |

  3. FindA, if [{:(4),(1),(3):}]A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]

    Text Solution

    |

  4. A=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1),(2,3),(1,2):}] Verify AB=BA or...

    Text Solution

    |

  5. If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2,1,2),(1,2,4):}] , then verify...

    Text Solution

    |

  6. Give an example of two non-zero 2xx2 matrices A and B such that A B...

    Text Solution

    |

  7. Given A=[{:(2,4,0),(3,9,6):}] "and" B=[{:(1,4),(2,8),(1,3):}], is (AB)...

    Text Solution

    |

  8. Solve for x and y , x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=0.

    Text Solution

    |

  9. If X and Y are 2xx2 matrices, then solve the following matrix equat...

    Text Solution

    |

  10. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

    Text Solution

    |

  11. Give an example of three matrices A ,\ B ,\ C such that A B=A C but...

    Text Solution

    |

  12. If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}],...

    Text Solution

    |

  13. If P=[{:(x,0,0),(0,y,0),(0,0,z):}] and Q=[{:(a,0,0),(0,b,0),(0,0 ,c):}...

    Text Solution

    |

  14. If [2 1 3] [{:(-1,0,-1),(-1,1,0),(0,1,1):}][{:(1),(0),(-1):}]=A, then ...

    Text Solution

    |

  15. If A=[{:(2, 1,),(4,2,)],B =[{:(2,3,4),(1,4,0):}] and C=[{:(-1,2,1),(1,...

    Text Solution

    |

  16. If A=[{:(1,0,-1),(2,1,3),(0,1, 1):}] then verify that A^(2)+A=(A+I) , ...

    Text Solution

    |

  17. If A=[{:(0,-1,2),(4,3,-4):}] and B=[{:(4,0),(1,3),(2,6):}] then verify...

    Text Solution

    |

  18. If A=[{:(1,2),(4,1),(5,6):}] and B=[{:(1,2),(6,4),(7,3):}], then varif...

    Text Solution

    |

  19. Show that A' A and A A' are both symmetric matrices for any matrix A.

    Text Solution

    |

  20. Let A and B be square matrices of the order 3xx3 . Is (A B)^2=A^2B^...

    Text Solution

    |