Home
Class 12
MATHS
The symmetric part of the matrix A = ((1...

The symmetric part of the matrix `A = ((1,2,4),(6,8,2),(2,-2,7))` is

A

`((0,-2,-1),(-2,0,-2),(-1,-2,0))`

B

` ((1,4,3),(2,8,0),(3,0,7))`

C

` ((0,-2,1),(2,0,2),(-1,2,0))`

D

` ((1,4,3),(4,8,0),(3,0,7))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos
  • COMMON ENTRANCE TEST - 2017

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

Find the adjoint of the matrix [(1,2),(3,4)]

show that the matrix A=[(2,-2,-4),(-1,3,4),(1,-2,-3)] is idempotent.

For what value of k the matrix [(2k+3,4,5),(-4,0,-6),(-5,6,-2k-3)] is a skew symmetric matrix ?

Find the matrix X so that X[(1,2,3),(4,5,6)]=[(-7,-8,-9),(2,4,6)]

Show that the matrix A=[(1, -1, 5),(-1,2,1),(5,1,3)] is a symmetric matrix.

The inverse of the matrix [[1 , -2],[3 ,4 ]] is

The rank of the matrix [[-1,2,5],[2,-4,a-4],[1,-2,a+1]] is (where a = - 6)

Express the matrix B=[(2,-2,-4),(-1,3,4),(1,-2,-3)] as the sum of a symmetric and a skew symmetric matrix.

Determine the matrix A, when A=4[{:(1,2,3),(-1,-2,-3),(4,2,6):}]+2[{:(5,4,1),(3,2,4),(3,8,2):}]

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2014-QUESTION BANK
  1. The value of sin(2 sin^(-1) 0.8) is equal to

    Text Solution

    |

  2. If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) a...

    Text Solution

    |

  3. The symmetric part of the matrix A = ((1,2,4),(6,8,2),(2,-2,7)) is

    Text Solution

    |

  4. If A is a matrix of order 3, such that A(adj A) = 101, then |adj A| =

    Text Solution

    |

  5. Consider the following statements : (a) If any two rows or columns o...

    Text Solution

    |

  6. The inverse of the matrix A=[(2,0,0),(0,3,0),(0,0,4)] is

    Text Solution

    |

  7. If a, b and c are in A.P., then the value of |(x+2, x+3, x+a),(x+4, x+...

    Text Solution

    |

  8. The local minimum value of the function f' given by f(x) = 3 + |x|, x ...

    Text Solution

    |

  9. A stone is dropped into a quiet lake and waves move in circles at the ...

    Text Solution

    |

  10. A gardener is digging a plot of land. As he gets tired, he works more ...

    Text Solution

    |

  11. The area of the region bounded by the lines y=mx, x =1, x=2, and x axi...

    Text Solution

    |

  12. Area of the region bounded by two parabolas y = x^(2) and x = y^(2) is

    Text Solution

    |

  13. The order and degree of the differential equation y = x(dy)/(dx) + (2)...

    Text Solution

    |

  14. The general solution of the differential equation (dy)/(dx)+y/x=3x is

    Text Solution

    |

  15. The distance of the point P(a, b, c) from the x-axis is

    Text Solution

    |

  16. Equation of the plane perpendicular to the line x/1=y/2=z/3 and passin...

    Text Solution

    |

  17. The line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) is parallel to the plane

    Text Solution

    |

  18. The angle between two diagonals of a cube is

    Text Solution

    |

  19. The lines : (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k =(y-4)/2 =(z-5)/1 a...

    Text Solution

    |

  20. A and B are two events such that P(A)!=0, P(B//A) is

    Text Solution

    |