Home
Class 12
MATHS
Express A=[[x,a,b],[a,y,c],[b,c,z]] as t...

Express` A=[[x,a,b],[a,y,c],[b,c,z]]` as the sum of a symmetric and a skew symmetric matrix.

Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 7

    MODERN PUBLICATION|Exercise EXERCISE|39 Videos

  • TEST PAPER 9

    MODERN PUBLICATION|Exercise EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

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

Express [[2,-1,3],[5,7,-2],[1,4,6]] as a sum of a symmetric and a skew symmetric matrix.

Express the matrix A=[[4,2,-3],[1,3,-6],[-5,0,-7]] as the sum of symmetric and skew symmetric matrix.

Write a 3xx3 skew -symmetric matrix .

Express as a sum of a symmetric and a skew symmetric matrix: [[0,x],[-x,0]]

Express as a sum of a symmetric and a skew symmetric matrix: [[1,5],[7,-3]]

Express as a sum of a symmetric and a skew symmetric matrix: [[4,-3],[1,2]]

Express as a sum of a symmetric and a skew symmetric matrix: [[0,1],[1,0]]

Express [(1,2,3),(4,0,1),(-1,5,-2)] as a sum of a symmetric and a skew – symmetric matrix.

Express A=((1,2),(2,3) as the sum of a symmetric and a skew symmetric matrix.

MODERN PUBLICATION-TEST PAPER 8-EXERCISE
  1. Let * be the binary operation on N given by a*b = LCM of a and b. Fin...

    Text Solution

    |

  2. Show that f:R to R defined as f(x)= 4x+3 is invertible. Find the inver...

    Text Solution

    |

  3. Express A=[[x,a,b],[a,y,c],[b,c,z]] as the sum of a symmetric and a sk...

    Text Solution

    |

  4. Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...

    Text Solution

    |

  5. Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3.

    Text Solution

    |

  6. Find the inverse of the following matrix [{:(1,1,2),(0,1,2),(1,2,1):}]...

    Text Solution

    |

  7. Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...

    Text Solution

    |

  8. Examine the contiunity of the the following functions at indicated poi...

    Text Solution

    |

  9. Differentiate : (sec x+ tan x)^cot x.

    Text Solution

    |

  10. If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.

    Text Solution

    |

  11. Prove the inequality x^2e^(-x^2) le e^(-1),x in R.

    Text Solution

    |

  12. Find the interval in which y=(x-1)^2(x+2) is : (i) increasing (ii)...

    Text Solution

    |

  13. Evaluate : int dx/(x(x^4+1))

    Text Solution

    |

  14. Evaluate : int dx/sqrt (x^2+8x)

    Text Solution

    |

  15. Evaluate : int(0)^(pi/2) e^x cos x dx .

    Text Solution

    |

  16. From the differential equation whose general solution is y=asint+be^t.

    Text Solution

    |

  17. Find the unit vector perpendicular to the plane ABC, where the positio...

    Text Solution

    |

  18. Show that (vec(a)-vec(b))xx(vec(a)+vec(b))=2(vec(a)xxvec(b)).

    Text Solution

    |

  19. The direction cosines of a straight line in two neighbouring positions...

    Text Solution

    |

  20. Find the equation of the plane Passing through the intersection of the...

    Text Solution

    |