Home
Class 12
MATHS
If [{:(9,-1,4),(-2,1,3),(1,2,-1):}]=A+[{...

If `[{:(9,-1,4),(-2,1,3),(1,2,-1):}]=A+[{:(1,2,-1),(0,4,9),(3,1,-2):}]` , then find the matrix A .

Text Solution

Verified by Experts

The correct Answer is:
`[{:(8,-3,5),(-2,-3,-6):}]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (b) )|43 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=[{:(-1,2,3),(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=[(1,-2,3),(0,-1,4),(-2,2,1):}] then find A^2-A

If A=[{:(2,2),(-3,1),(4,0):}],B=[{:(6,2),(1,3),(0,4):}]andC=[{:(-8,-4),(2,-4),(-4,-4):}] , then find the additive inverse of matrix A.

If 3A-B=[{:(5,0),(1,1):}] and B=[{:(4,3),(2,5):}] then find the matrix A.

If X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,1,-1),(7,2,4):}] , then find matrix Z, such that X+Y +Z is a zero matrix.

If [[9,-1,4],[-2,1,3]]=A+[[1,2,-1],[0,4,9]] then find the matrix A.

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

ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. Solve for x and y , x [{:(2),(1):}]+y[{:(3),(5):}]=[{:(-8),(-11):}]

    Text Solution

    |

  2. If A=[{:(2,4),(3,2):}]andB=[{:(1,3),(-2,5):}], then find A-B.

    Text Solution

    |

  3. If [{:(9,-1,4),(-2,1,3),(1,2,-1):}]=A+[{:(1,2,-1),(0,4,9),(3,1,-2):}] ...

    Text Solution

    |

  4. Assume Y, W and P are the matrices of orders 3xxk,nxx3andpxxk .Find t...

    Text Solution

    |

  5. Let A=[a(ij)](nxxn) be a diagonal matrix whose diagonal elements are...

    Text Solution

    |

  6. Suppose A=[{:(5,4),(2,3):}]andB=[{:(3,5,1),(6,8,4):}] , then find AB a...

    Text Solution

    |

  7. Find x from the matrix equation [{:(1,3),(4,5):}][{:(x),(2):}]=[{:(5)...

    Text Solution

    |

  8. If matrix A=[{:(1,-1),(-1,1):}]andA^(2)=kA , then write the value of k...

    Text Solution

    |

  9. Show by an example that for AneO,BneOandAB=O.

    Text Solution

    |

  10. If A=[{:(1,2),(3,4):}]then find A+A .

    Text Solution

    |

  11. If A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0),(1,3),(2,6):}] then verify t...

    Text Solution

    |

  12. If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) bo...

    Text Solution

    |

  13. If A and B are symmetric matrices , then prove that BA - 2AB is neithe...

    Text Solution

    |

  14. Express the matrix A=[{:(3,1),(5,-1):}] as the sum of a symmetric and...

    Text Solution

    |

  15. If possible then find the value of BA and AB , where A=[{:(2,1,2),(1,2...

    Text Solution

    |

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

    Text Solution

    |

  17. If A=[{:(,),(,):}]andB=[{:(,),(,):}] , then find the matrices A^(2),B^...

    Text Solution

    |

  18. If A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,0):}], then show that (A+B)(A-...

    Text Solution

    |

  19. If A=[{:(2,1):}],B=[{:(5,3,4),(8,7,6):}]andC=[{:(-1,2,1),(1,0,2):}] t...

    Text Solution

    |

  20. If A=[{:(0,6,7),(-6,0,8),(7,-8,0):}],B=[{:(0,1,1),(1,0,2),(1,2,0):}]an...

    Text Solution

    |