Home
Class 12
MATHS
If A = [(2,5),(3,1)] and B = [(4,-1),(1,...

If `A = [(2,5),(3,1)] and B = [(4,-1),(1,3)]`, verify that det AB =(det A) (det B).

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

If A = [(2,3),(1,4)] and B = [(1,2),(3,4)] , verify that ad (AB) = adjB) (adjA)

If A = [(1,2),(6,5)] B = [(2,5),(-3,4)] , verify that (AB)' = B' A'

Taking A = [(1,3),(2,4)] and B = [(1,4),(2,5)] , verify that (AB)' = B'A'

If A = [(-2,0,5),(3,8,7)], B = [(-1,0),(2,3),(1,4)] , verify that (AB)' = B'A'

If A = [(2),(-3),(5)] , B = [(2,-4,7)] , verify that (AB)' = B'A'

If A = [(-1,2,-3),(4,-5,6)] and B = [(3,-4),(2,1),(-1,0)] , verify that (BA)' = A'B'

If A = [(2,3),(4,5)] , B =[(1,2),(4,6)] , then verify that (AB)' = B' A'

Taking A = [(1,3),(2,4)] and B = [(1,4),(2,5)] , verify that (A+B)' = A'+B'

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Evaluate the following determinants: |(3,2,3),(2,2,3),(3,2,3)|

    Text Solution

    |

  2. Evaluate the following determinants: |(a,h,g),(h,b,f),(g,f,c)|

    Text Solution

    |

  3. If A = [(2,5),(3,1)] and B = [(4,-1),(1,3)], verify that det AB =(det ...

    Text Solution

    |

  4. Evaluate :|(a,0,0,0),(0,b,0,0),(0,0,c,0),(0,0,0,d)|

    Text Solution

    |

  5. Evaluate det A where A = [(2,0,0,1),(-3,0,1,0),(1,1,-1,1),(2,0,5,0)]

    Text Solution

    |

  6. If |(3x,7),(-2,3)| = |(8,7),(-2,3)| find x.

    Text Solution

    |

  7. Find x if det A = 0 where A = [(x+1,-3,4),(-5,x+2,2),(4,1,x-6)]

    Text Solution

    |

  8. Prove that the determinant |[x,sintheta,costheta],[-sintheta,-x,1],[co...

    Text Solution

    |

  9. Evaluate the following determinants: |(1,3,9),(3,9,1),(9,1,3)|

    Text Solution

    |

  10. Evaluate the following determinants: |(2,3,7),(13,17,5),(15,20,12)|

    Text Solution

    |

  11. Evaluate the following determinants: |(102,18,36),(1,3,4),(17,3,6)|

    Text Solution

    |

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

    Text Solution

    |

  13. Evaluate the following determinants: |(219,117,345),(19,9,34),(7,3,5...

    Text Solution

    |

  14. Evaluate the following determinants : {:|(0,2,0),(2,3,4),(4,5,6)|

    Text Solution

    |

  15. Evaluate the following determinant|(2,-1,0,1),(-3,0,1,-2),(1,1,-1,1),(...

    Text Solution

    |

  16. Evaluate the determinant |(1^2, 2^2, 3^2,4^2),(2^2,3^2,4^2,5^2),(3^2,4...

    Text Solution

    |

  17. Without expanding, prove that |(6,2,3),(9,3,5),(12,4,7) = 0

    Text Solution

    |

  18. Use properties of determinants ot evaluate: {:|(x+y,y+z,z+x),(z,x,y)...

    Text Solution

    |

  19. Evaluate the following determinants: |(0,c,b),(c,0,a),(-b,-a,0)|

    Text Solution

    |

  20. By using determinants, find the area of the triangle whose vertices ar...

    Text Solution

    |