Home
Class 12
MATHS
Evaluate |[2,4],[-1,2]|...

Evaluate `|[2,4],[-1,2]|`

Text Solution

AI Generated Solution

To evaluate the determinant of the matrix \(\begin{bmatrix} 2 & 4 \\ -1 & 2 \end{bmatrix}\), we can follow these steps: 1. **Identify the elements of the matrix**: The matrix is given as: \[ A = \begin{bmatrix} 2 & 4 \\ -1 & 2 \end{bmatrix} \] Here, we have: ...
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    NCERT|Exercise MISCELLANEOUS EXERCISE|19 Videos
  • DETERMINANTS

    NCERT|Exercise EXERCISE 4.4|5 Videos
  • DETERMINANTS

    NCERT|Exercise EXERCISE 4.6|15 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT|Exercise QUESTION|3 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate abs([2,4,0],[-1,1,2],[0,-2,1])

2.Find the value of |[-1,7],[2,4]|

Find the value of determinant [[2,4],[-1,2]]

Use properties of determinants to evaluate : |{:(2,3,1),(4,6,2),(1,3,2):}|

Find the adjoint of the matrix: [(2,-4),(-1,2)]

Evaluate: int(2x-1)/(4x^2)e^(2x)dx

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

(5) (i) If A=[[2,4,-1],[-1,0,2]],B=[[3,4],[-1,2],[2,1]], find (AB)^(T)

Evaluate 2tan^(-1)(1/2)+tan^(-1)(1/4)

Evaluate: (8.6)^(2)-(1.4)^(2)

NCERT-DETERMINANTS-SOLVED EXAMPLES
  1. Evaluate |[2,4],[-1,2]|

    Text Solution

    |

  2. Evaluate the determinantDelta=|[1,2,4],[-1,3,0], [4, 1, 0]|

    Text Solution

    |

  3. Evaluate |(x,x+1),(x-1,x)|

    Text Solution

    |

  4. Find values of x for which abs((3,x),(x,1))=abs((3,2),(4,1))

    Text Solution

    |

  5. Evaluate Delta=|[0,sinalpha,-cosalpha],[-sinalpha,0,sinbeta],[cosalpha...

    Text Solution

    |

  6. Verify Property 2 for Delta=|[2,-3, 5],[ 6, 0, 4],[ 1, 5,-7]|

    Text Solution

    |

  7. Verify Property 1 for Delta=|[2,-3, 5],[ 6, 0, 4],[ 1, 5,-7]|

    Text Solution

    |

  8. Write the value of the following determinant: |[102, 18, 36],[ 1, 3, 4...

    Text Solution

    |

  9. Evaluate Delta=|[3, 2, 3],[ 2, 2, 3], [3, 2, 3]|

    Text Solution

    |

  10. Without expanding, prove that Delta=|(x+y,y+z,z+x),(z,x,y),(1,1,1)|=0

    Text Solution

    |

  11. EvaluateDelta=|1a b c1b c a1c a b|

    Text Solution

    |

  12. Show that |[a, b, c],[ a+2x, b+2y, c+2z],[ x, y ,z]|=0

    Text Solution

    |

  13. Prove that |[a, a+b, a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b, 10 a+6b+3c]...

    Text Solution

    |

  14. Show that|[1+a,1,1],[1,1+b,1],[1,1,1+c]|=abc(1+1/a+1/b+1/c)=abc+bc+ca+...

    Text Solution

    |

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

    Text Solution

    |

  16. Prove that |b+c a a b c+a b cc a+b|=4a b c

    Text Solution

    |

  17. If x, y, z are different and Delta=|[x,x^2, 1+x^3],[y, y^2,1+y^3],[z, ...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the minor of element 6 in the determinant Delta=|[1, 2, 3],[ 4, 5...

    Text Solution

    |

  20. The sum of three numbers is 6. If we multiply third number by 3 and a...

    Text Solution

    |