Home
Class 12
MATHS
Given that A = {:[(-4,4,4),(-7,1,3),(5,-...

Given that `A = {:[(-4,4,4),(-7,1,3),(5,-3,-1)] and B = [(1,-1,1),(1,-2,-2),(2,1,3)]`. Find AB. Use this to solve the following system of equations:
x-y+z=4,x-2y-2z=9,2x+y+3z=1.

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos

Similar Questions

Explore conceptually related problems

Given that A=[{:(-4,4,4),(-7,1,3),(5,-3,-1):}],"and"B=[{:(1,-1,1),(1,-2,-2),(2,1,3):}] Find AB . Use this to solve the following system of linear equations : x-y+z=4, x-2y-2z=9, 2x+y+3z=1 .

Given that A = {:[(1,-1,0),(2,3,4),(0,1,2)] and B = [(2,2,-4),(-4,2,-4),(2,-1,5)] . Find AB Use this to solve that following system of equations: x-y=3,2x+3y+4z=17,y+2z=7.

Given that A= [(1,-1,0),(2,3,4),(0,1,2)]" and "B= [(2,2,-4),(-4,2,-4),(2,-1,5)] . Find AB Use to solve the following system of equations : x-y=3, 2x+3y+4z= 17, y+2z= 7 .

Using matrices, solve the following system of equations for x,y and z: x+y-z=1,3x+y-2z=3,x-y-z=-1

Using matrices, solve the following system of equations for x,y and z: 2x+y+z=1,x-2y-z=3/2,3y-5z=9

If A = {:[(2,-3,5),(3,2,-4),(1,1,-2)] , find A^-1. Using A^-1 , solve the following system of equations: 2x-3y + 5z = 11, 3x+2y-4z=-5,x+y-2z=-3

Using matrices, solve the following system of equations for x,y and z: 3x-2y+3z=8,2x+y-z=1,4x-3y+2z=4

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Given that A = {:[(-4,4,4),(-7,1,3),(5,-3,-1)] and B = [(1,-1,1),(1,-2...

    Text Solution

    |

  2. If A = [(13,-10),(7,87)], write the following submatrices of A. A12

    Text Solution

    |

  3. If A = [(13,-10),(7,87)], write the following submatrices of A. A22

    Text Solution

    |

  4. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

    Text Solution

    |

  5. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

    Text Solution

    |

  6. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

    Text Solution

    |

  7. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

    Text Solution

    |

  8. Find the minors and cofactos of each entry of the first column of the ...

    Text Solution

    |

  9. Find the minors and cofactos of each entry of the first column of the ...

    Text Solution

    |

  10. Find the minors and cofactos of each entry of the first column of the ...

    Text Solution

    |

  11. Find the minors and cofactos of each entry of the first column of the ...

    Text Solution

    |

  12. Evaluate the following determinants: {:|(-2,3),(4,-9)|

    Text Solution

    |

  13. Evalate the following determinants: |(1//2, 8),(4,2)|

    Text Solution

    |

  14. Evaluate the following determinants: |(a+ib , - c + id),(c+id, a-ib)...

    Text Solution

    |

  15. Evaluate the following determinants: |(3x, x-7),(x+1,5x+1)|

    Text Solution

    |

  16. Show that |(sin10^@, - cos10^@),(sin80^@, cos80^@)| = 1

    Text Solution

    |

  17. Show that {:|(cos15^@, sin15^@),(sin75^@, cos75^@)|:}= 0

    Text Solution

    |

  18. Evaluate |(x,x+1),(x-1,x)|

    Text Solution

    |

  19. Evaluate the following determinants: |(1,0,0),(0,1,0),(0,0,1)|

    Text Solution

    |

  20. Evaluate the following determinants: |(1,-3,3),(4,-1,3),(3,5,3)|

    Text Solution

    |

  21. Evaluate the following determinants: |(1,0,2),(0,2,1),(2,0,3)|

    Text Solution

    |