Home
Class 12
MATHS
Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[...

Evaluate `[[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Evaluate [[1,a,b+c],[1,b,c+a],[1,c,a+b]]

Evaluate abs[[1,a,bc],[1,b,ca],[1,c,ab]]-abs[[1,a,b^2],[1,b,b^2],[1,c,c^2]]

Find the value of [[1,a,b+a],[1,b,c+a],[1,c,a+b]] .

Prove without expanding that |[bc,a,a^2],[ca,b,b^2],[ab,c,c^2]|=|[1,a^2,a^3],[1,b^2,b^3],[1,c^2,c^3]|

Evaluate [[a,a^2-bc,1],[b,b^2-ac,1],[c,c^2-ab,1]]

Prove that [[1,a,a^2 - bc],[1,b,b^2 - ca],[1,c,c^2 - ab]]

If A=abs[[1,2,0],[1,1,0],[-1,4,0]],B=abs[[1,2,3],[1,1,-1],[4,-3,2]] and C= abs[[1,2,3],[1,1,-1],[2,2,2]] then prove that A(BC)=(AB)C

If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1,2,3],[1,1,-1],[2,2,2]] Show that AB=AC though B !=C .Verify that: A(BC) =(AB)C

If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1,2,3],[1,1,-1],[2,2,2]] Show that AB=AC though B !=C .Verify that: A+(B+C)=(A+B)+C

If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1,2,3],[1,1,-1],[2,2,2]] Show that AB=AC though B '!=C .Verify that: A(B+C)=AB+AC

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If r^2 =x^2 +y^2+z^2, "Prove that" "tan"^(-1) (yz)/(xr) ="tan"^(-1) (...

    Text Solution

    |

  2. Find A^-1 if A=[(1,2),(3,5)] by using elementary row operations.

    Text Solution

    |

  3. Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]

    Text Solution

    |

  4. Define involuntary matrix and show that [(0,1,-1),(4,-3,4),(3,-3,4)] i...

    Text Solution

    |

  5. If [(3,-2),(5,1)][(x),(y)]=[(12),(7)], then find xand y.

    Text Solution

    |

  6. If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...

    Text Solution

    |

  7. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx)=sqrt...

    Text Solution

    |

  8. If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y

    Text Solution

    |

  9. Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...

    Text Solution

    |

  10. Show that f(x)=x^3-6x^2+24x+4 has neither a maximum nor a minimum valu...

    Text Solution

    |

  11. Find Integrating factor of:(x logx)dy/dx+y=2logx

    Text Solution

    |

  12. Integrate int(x+7)/(x^2+8x)dx

    Text Solution

    |

  13. Solve dy/dx+y/x=xy^2.

    Text Solution

    |

  14. Prove that int(pi//6)^(pi//3)1/(1+sqrt(tanX))dx =(pi)/12

    Text Solution

    |

  15. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  16. If the sum of two unit vectors is a unit vector, show that the magnitu...

    Text Solution

    |

  17. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

    Text Solution

    |

  18. Show that the vector area of the triangle whosse vertices have positio...

    Text Solution

    |

  19. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

    Text Solution

    |

  20. If y=x^(sinx)+(sinx)^(cosx), then find (dy)/(dx).

    Text Solution

    |