Home
Class 12
MATHS
If [{:(1,2,0),(0,1,3),(-2,5,3):}] , then...

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

Text Solution

Verified by Experts

The correct Answer is:
(i) `therefore(A+A)` is symmetric .
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

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

If A=[[1,2,0],[0,1,3],[-2,5,3]] , then verify that A+A' is symmetric and A-A' is skew-symmetric.

If A=[[1,2,0],[0,1,3],[-2,5,3]] , then verify that A+A' is symmetric and A-A' is skew-symmetric.

If A=[{:(2,3,-5),(0,-1,4):}] , then verify that (3A)'=3A'.

If A=[{:(-1,2,3),(5,7,9),(-2,1,1):}]andB=[{:(-4,1,-5),(1,2,0),(1,3,1):}] , then verify that (i) (A+B)'=A+B ' (ii) (A-B)=A'-B '

If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] , then find A^(2)-5A+6I .

ARIHANT PUBLICATION-MATRICES -ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (b) )
  1. A and B are square matrices of the same order, prove that : if A,B and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |