Home
Class 11
MATHS
Express [(3,2,-4),(4,2,-3),(0,5,1)]as su...

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

Text Solution

Verified by Experts

The correct Answer is:
`[(3,3,-2),(3,2,1),(-2,1,1)]+[(0,-1,-2),(1,0,-4),(2,4,0)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 7.5|25 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|39 Videos

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise II. Choose the correct option for the following. (M.C.Q)|35 Videos

Similar Questions

Explore conceptually related problems

Express the matrix [(7,1,5),(-4,0,3),(-2,6,1)] as the sum of a symmetric and a skew symmetric matrices.

Express the matrix A=[(1,3,5),(-6,8,3),(-4,6,5)] as the sum of a symmetric and a skew - symmetric matrices.

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

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

Express the matrices as the sum of a symmetric matrix and a skew -symmetric matrix: [(4,-2),(3,-5)]

Statement 1: Matrix 3xx3,a_(i j)=(i-j)/(i+2j) cannot be expressed as a sum of symmetric and skew-symmetric matrix. Statement 2: Matrix 3xx3,a_(i j)=(i-j)/(i+2j) is neither symmetric nor skew-symmetric

Prove that square matrix can be expressed as the sum of a symmetric matrix and a skew-symmetric matrix.

If matrix A=[(0,1,-1),(4,-3,4),(3,-3,4)]=B+C , where B is symmetric matrix and C is skew-symmetric matrix, then find matrices B and C.

If A is symmetric as well as skew-symmetric matrix, then A is

Show that the matrix A=[(0, 1,-1),(-1,0,1),(1,-1,0)] is a skew symmetric matrix.

PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS)
  1. Find x,y,p,q if[(2x-y,5,5p+2q),(p+2q,x-2y,-10)]=[(0,5,7),(3,-3,-10)]

    Text Solution

    |

  2. If A+2B =[3,1,2),(-4,0,5)],2A-B=[(0,-1,7),(-2,6,1)]find A and B.

    Text Solution

    |

  3. If A=[(2,3),(-1,2)]find A^(4).

    Text Solution

    |

  4. Solve[(x,0,-1)][(1,2,1),(1,1,2),(-2,1,0)][(x,1,0)]=0

    Text Solution

    |

  5. If A=[(2,1,2),(4,2,-3),(0,5,1)],B=[(-2,1,0),(2,1,-1),(1,0,1)].Prove th...

    Text Solution

    |

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

    Text Solution

    |

  7. If a(ij)=(2i-j)^(2),find A(32).

    Text Solution

    |

  8. If A=[(3,1,2),(1,2,3)],B=[(1,0),(2,1),(1,1)]find AB and BA.

    Text Solution

    |

  9. If A=[(1,2,3),(4,1,-1),(2,4,6)],find det (A^(T))

    Text Solution

    |

  10. If [(3,-2),(1,2)][(x),(y)]=[(4),(0)],find x and y.

    Text Solution

    |

  11. If A=((2,3),(-1,2)).Show that A^(2)-4A+7I=0whwre I is the unit matrix ...

    Text Solution

    |

  12. If A=[(3,4),(4,-3)]find x if det|A-xI|=0,where I is a unit matrix of o...

    Text Solution

    |

  13. If A=[(2,-1),(1,1)],B=[(1,0),(2,-2)],C=[(3,1),(-1,2)]Show that (i)(A+B...

    Text Solution

    |

  14. Given |(a,a^(2),a^(3)+1),(b,b^(2).b^(3)+1),(c,c^(2)+c^(3)+1)|=0 and a ...

    Text Solution

    |

  15. Solve |(x-1,0,0),(2x,x+3,0),(5x-1,3x+1,x-2)|=0

    Text Solution

    |

  16. If A=|(3,2,-1),(1,0,2),(-2,1,2)|Prove that (i)a(11)A(11)+a(12)A(12)+a...

    Text Solution

    |

  17. If A=|(3,2,1),(1,4,0),(-1,1,2)|and B=|(1,0,1),(1,1,0),(0,0,1)|.Prove t...

    Text Solution

    |

  18. If A=|(cos x,-sin x,0),(sinx,cosx,0),(0,0,1)|.Find A^(n)(by mathematic...

    Text Solution

    |