Home
Class 12
MATHS
Evaluate |{:(2,4),(-1,2):}|...

Evaluate `|{:(2,4),(-1,2):}|`

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|6 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|42 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

Similar Questions

Explore conceptually related problems

Using cofactors of elements of second row evaluate |{:(1,-3,2),(4,-1,2),(3,5,2):}|"

Evaluate the determinants below in examples number 1 and 2 |{:(2,4),(-5,-1):}|

For the matrix A=[{:(2,3),(1,2):}] , show that A^2-4A+I_2=0 . Hence, find A^(-1)

Evaluate the deternminant Delta=|{:(1,2,4),(-1,3,0),(4,1,0):}|

Evaluate (1(1)/(4))^2

Evaluate |[1,2,3],[-2,3,2],[3,4,-4]|xx|[-2,1,3],[3,-2,1],[2,1,-2]| . Using the concept of multiplication of determinants.

Find the value of the determinant |{:(1,2,4),(3,4,9),(2,-1,6):}|

Find values of x,if (i) |{:(2,4),(5,1):}|=|{:(2x,4),(6,x):}|

If possible , find BA and AB , where A=[{:(2,1,2),(1,2,4):}],B=[{:(4,1),(2,3),(1,2):}]

For the matrix A=[{:(1,2,2),(2,1,2),(2,2,1):}] . Show that A^2-4A-5I=0 Hence find A^(-1)

KUMAR PRAKASHAN-DETERMINANTS -Textbook Illustrations for Practice work
  1. Evaluate |{:(2,4),(-1,2):}|

    Text Solution

    |

  2. Evaluate {:[(x, x+1),(x-1 ,x)]:}

    Text Solution

    |

  3. Evaluate the deternminant Delta=|{:(1,2,4),(-1,3,0),(4,1,0):}|

    Text Solution

    |

  4. Evaluate Delta=|{:(0,sinalpha,-cosalpha),(-sinalpha,0,sinbeta),(cosalp...

    Text Solution

    |

  5. Find values of x for which |{:(3,x),(x,1):}|=|{:()3,2),(4,1):}|

    Text Solution

    |

  6. Verify: The value of the determinant remains unchanged if its rows and...

    Text Solution

    |

  7. Verify Property 2 for Delta=|{:(2,-3,5),(6,0,4),(1,5,-7):}|

    Text Solution

    |

  8. Evaluate Delta =|{:(3,2,3),(2,2,3),(3,2,3):}|

    Text Solution

    |

  9. Evaluate {:[( 102,18,36),( 1,3,4),( 17,3,6)]:}

    Text Solution

    |

  10. Using the property of determinants and without expanding prove the fol...

    Text Solution

    |

  11. Prove that |{:(a,a+b,a=b+c),(2a,3a+2b,4a+3b+2c),(3a,6a+3b,10a+6b+3c):}...

    Text Solution

    |

  12. Without expanding prove that Delta=|{:(x+y,y+z,z+x),(z,x,y),(1,1,1):...

    Text Solution

    |

  13. Evaluate Delta=|{:(1,a,bc),(1,b,ca),(1,c,ab):}|

    Text Solution

    |

  14. Prove that {:[( b+c,a,a), ( b,c+a,b),( c,c,b+a) ]:}

    Text Solution

    |

  15. If x,y,z are different and Delta=|{:(x,x^2,1+x^3),(y,y^2,1+y^3),(z,z...

    Text Solution

    |

  16. Prove that |{:(a+1,1,1),(1,b+1,1),(1,1,c+1):}|=abc(1/a+1/b+1/c+1)

    Text Solution

    |

  17. Find the area of the triangle whose vertices are (3,8),(-4,2) and (5,1...

    Text Solution

    |

  18. Find the equation of the line joining A(1,3) and B(0,0) using determin...

    Text Solution

    |

  19. Find the minor of elements 6 in the determinant Delta=|{:(1,2,3),(4,...

    Text Solution

    |

  20. Find minors and cofactors of all the elements of the determinant |{:(1...

    Text Solution

    |