Home
Class 12
MATHS
If a symmetric /skew symmetric matrix is...

If a symmetric /skew symmetric matrix is expressed as a sum of a symmetric and a skew symmetric matrix then prove that one of the matrices in the sum must be zero matrix .

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Very Short Answer Type Questions) |56 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (a) )|102 Videos

  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

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

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]]

Write a 3xx3 skew -symmetric matrix .

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

Express as a sum of a symmetric and a skew -symmetric matrix . [{:(0,x),(-x,0):}]

ARIHANT PUBLICATION-MATRICES -ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (b) )
  1. State'True'or'false': A matrix which is not symmetric is skew symmetri...

    Text Solution

    |

  2. If A and B are symmetric matrices of the same order with AB!= BA, fina...

    Text Solution

    |

  3. If a symmetric /skew symmetric matrix is expressed as a sum of a symme...

    Text Solution

    |

  4. A and B are square matrices of the same order, prove that : if A,B and...

    Text Solution

    |

  5. A and B are square matrices of the same order, prove that :If A,B and ...

    Text Solution

    |

  6. If [{:(1,2,0),(0,1,3),(-2,5,3):}] , then verify that A+A ' is symm...

    Text Solution

    |

  7. If A=[{:(1,2,0),(0,1,3),(-2,5,3):}] then verify that A+A is symmetric ...

    Text Solution

    |

  8. Prove that a unit matrix is its own inverse Is the converse true ?

    Text Solution

    |

  9. If A=[{:(0,1,-1),(4,-3,3),(3,-3,4):}] show that A^(2)=I and hence A=A...

    Text Solution

    |

  10. Show that [[0,1],[1,0]] is its own inverse.

    Text Solution

    |

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

    Text Solution

    |

  12. Express as a sum of a symmetric and skew symmetric matrix. [(2,-1,3),(...

    Text Solution

    |

  13. Express as a sum of a symmetric and skew symmetric matrix. [(x,a,b),(a...

    Text Solution

    |

  14. Express as a sum of a symmetric and a skew -symmetric matrix . [{:(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. What is the inverse of : [[1,0],[0,1]]

    Text Solution

    |

  19. What is the inverse of [{:(1,0,0),(0,1,0),(0,0,1):}]

    Text Solution

    |

  20. Find inverse of the following matrices by elementary row/column operat...

    Text Solution

    |