Home
Class 12
MATHS
Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1...

Evaluate D `=|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]|` by expanding it along the second row.

Text Solution

Verified by Experts

D `=|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]|`
Then
`=-1(-9+2)+2(-6-4)-3(2+6)`
`=7+2(-10)-3(8)`
`=7-20-24`
`=-37`
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos
  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos

Similar Questions

Explore conceptually related problems

Evaluate |{:(1,2,3),(3,-1,1),(2,3,5):}|

Evaluate the following: |[a^2+2a, 2a+1, 1],[2a+1, a+2, 1],[3,3,1]|

If P=[[1,2,-3] , [3,-1,2] , [-2,1,3]], Q=[[2,3,1] ,[3,1,2] , [1,2,3]] then find the matrix R such that P+Q+R is a zero matrix

Evaluate : [ ( 1/2 )^-1 + ( 2/3 )^2 - ( 3/4 ) ]^(-2 )

Consider the determinant D= |(x+2,2x+3,3x+4), (x+1, x+1, x+1), (0, 1, 3x +8)| If the determinant is expanded in the power of x, the coefficient of x is

Find the inverse of the matrix A = {:((1,2,-2),(-1,3,0),(0,-2,1)):} by using elementary row transformations.

For a matrix {:[(4,1,2),(2,4,3),(5,8,6)]:} what is the second row and third column element ?

Find the rank of matrix [ [1,1,-3,2],[2,-1,2,-3],[3,-2,1,-4],[-4,1,-3,1] ]

RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. Evaluate: (i) |(5 ,4),(-2, 3)| (ii) |(sintheta,costheta),(-costheta,s...

    Text Solution

    |

  2. Evaluate: (i) |(x^2+x y+y^2,x+y ),(x^2-x y+y^2,x-y)| (ii) |(1,(log)b ...

    Text Solution

    |

  3. Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]| by expanding it along th...

    Text Solution

    |

  4. Evaluate the determinant D=|2 3-2 1 2 3-2 1-3| by expanding it alon...

    Text Solution

    |

  5. Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]| by using Sarrus diagram.

    Text Solution

    |

  6. Evaluate =|-1 6-2 2 1 1 4 1-3| by two methods.

    Text Solution

    |

  7. For what value of x the matrix A=[[1,-2,3],[1,2,1],[x,2,-3]] is singul...

    Text Solution

    |

  8. Determine the values of x for which the matrix A=[x+1-3 4-5x+2 2 4 ...

    Text Solution

    |

  9. If A=[1 3 2 1] , find the determinant of the matrix A^2-2A .

    Text Solution

    |

  10. If A=[1 2 4 2] , then show that |2A|=4|A| .

    Text Solution

    |

  11. If |x-2-3 3x2x|=3 , find the values of xdot

    Text Solution

    |

  12. Let |[3,y],[x,1]|=|[3,2],[4,1]| Find possible values of x and y if x,y...

    Text Solution

    |

  13. Evaluate the determinant =|(log)3 512(log)4 3(log)3 8(log)4 9| .

    Text Solution

    |

  14. Find the minors of cofactors of elements of the matrix A=[a(i j)]=[[1,...

    Text Solution

    |

  15. Let A=|1sintheta1-sintheta1sintheta-1-sintheta1|, where 0lt=thetalt=2p...

    Text Solution

    |

  16. If [ ] denotes the greatest integer less than or equal to the real nu...

    Text Solution

    |

  17. Prove that the determinant |(x,sin theta,cos theta),(-sin theta,-x,1),...

    Text Solution

    |

  18. Write the minors and cofactors of each element of the first column ...

    Text Solution

    |

  19. Write the minors and cofactors of each element of the first column ...

    Text Solution

    |

  20. Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...

    Text Solution

    |