Home
Class 12
MATHS
The largest value of a third order deter...

The largest value of a third order determinant whose elements are equal to `1 or 0` is

Text Solution

AI Generated Solution

To find the largest value of a third order determinant whose elements are equal to 1 or 0, we can follow these steps: ### Step 1: Understand the Determinant Structure A third order determinant (3x3 matrix) can be represented as follows: \[ D = \begin{vmatrix} a_{11} & a_{12} & a_{13} \\ ...
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE ENGLISH|Exercise Multiple Correct Answer|5 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the largest value of a third order determinant whose elements are 0 or -1.

Show that the value of a third order determinant whose all elements are 1 or -1 is an even number.

If the value of a third order determinant is 11 then the value of the square of the determinant formed by the cofactors will be

If all elements of a third order determinant are equal to 1 or -1 . then determinant itself is (i) An Odd Integer (ii) An Even Integer (iii) An Imaginary Number (iv) multiple of 3

Minimum value of a second order determinant whose each is either 1 or 2 is equal to

If the value of a third order determinant is 11, find the value of the square of the determinat formed by the cofactors.

If the value of a third order determinant is 12, then find the value of the determinant formed by replacing each element by its co-factor

The number of distinct values of a2xx2 determinant whose entries are from the set {-1,0,1}, is

If every element of a third order determinant of value Detlta is multiplied by 5, then the value of new determinant, is

If each element of as third order determinant of value triangle is multiplied by 5 then value of the new determinant is (A) 125triangle B) 25triangle (C) 5triangle (D) triangle

CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. The largest value of a third order determinant whose elements are equa...

    Text Solution

    |

  2. Prove that |cosalpha-cosbeta| le |alpha-beta|

    Text Solution

    |

  3. Statement 1: If b c+q r=c a+r p=a b+p q=-1, t h e n|a p a p b q b q c...

    Text Solution

    |

  4. If f(theta)=|sinthetacosthetasinthetacosthetasinthetacosthetacosthetas...

    Text Solution

    |

  5. If f(theta)=|[sin^2A,cot A,1],[sin^2B,cosB,1],[sin^2C,cosC,1]| , then...

    Text Solution

    |

  6. The roots of the equation |^x Cr^(n-1)Cr^(n-1)C(r-1)^(x+1)Cr^n Cr^n C(...

    Text Solution

    |

  7. Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2...

    Text Solution

    |

  8. Consider a system of linear equation in three variables x,y,z a1x+b...

    Text Solution

    |

  9. If f(x)=|[a,-1, 0],[a x, a,-1],[a x^2,a x, a]|,using properties of det...

    Text Solution

    |

  10. If g(x)=(f(x))/((x-a)(x-b)(x-c)),w h e r ef(x) is a polynomial of degr...

    Text Solution

    |

  11. If (x)=|[x^2+4x-3 2x+4 13] [2x^2+5x-9 4x+5 26] [ 8x^2-6x+1 16 x-6 104]...

    Text Solution

    |

  12. If |y z-x^2z x-y^2x y-z^2x z-y^2x y-z^2y z-x^2x y-z^2y z-x^2z x-y^2|=|...

    Text Solution

    |

  13. Let f(n)=|nn+1n+2^n Pn^(n+1)P(n+1)^n Pn^n Cn^(n+1)C(n+1)^(n+2)C(n+2)| ...

    Text Solution

    |

  14. If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]...

    Text Solution

    |

  15. Let x<1, then value of |[x^2+2, 2x+1 ,1],[ 2x+1,x+2, 1],[ 3, 3 ,1]| is...

    Text Solution

    |

  16. Find the number of real root of the equation |[0,x-a, x-b],[ x+a,0,x-...

    Text Solution

    |

  17. Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonz...

    Text Solution

    |

  18. If e^(itheta)=costheta+isintheta, find the value of |[1,e^(ipi//3),e...

    Text Solution

    |

  19. Which of the following is not the root of the equation |[x,-6,-1],[ 2,...

    Text Solution

    |

  20. If A,B,C are the angles of a non right angled triangle ABC. Then find ...

    Text Solution

    |

  21. Let f(x)=a5x^5+a4x^4+a3x^3+a2x^2+a1x , where ai ' s are real and f(x)=...

    Text Solution

    |