Home
Class 12
MATHS
If A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,...

If `A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,0):}]`, then show that `(A+B)(A-B)neA^(2)-B^(2)`.

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=[{:(2,0),(1,4):}]andB=[{:(-1,2),(3,0):}] , then find (AB).

If A=[{:(-2,3),(1,2):}]andB=[{:(-1,0),(1,2):}] , then find (A+2B).

If A=[{:(1,-1,1),(2,-1,0),(1,0,0):}] then show that A^-1=A^2

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

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

If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then verify that (AB)^(T)=B^(T)A^(T) .

If A=[{:(2,4,0),(3,9,6):}]andB=[{:(1,4),(2,8),(1,3):}] then verify that (AB)'=B'A'.

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

If A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0),(1,3),(2,6):}] then verify that : (i) (A')'=A (ii) (AB)'=B'A '

ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. A=[{:(3,-4),(1,1),(2,0):}]andB=[{:(2,1,2),(1,2,4):}], then verify that...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. How many different matrix products can you form with these three matri...

    Text Solution

    |

  7. Solve the matrix [{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4...

    Text Solution

    |

  8. If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], then prove...

    Text Solution

    |

  9. If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then find the va...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the matrix A satisfying the equation [{:(2,1),(3,2):}].A.[{:(-3...

    Text Solution

    |

  12. If A=[{:(1,0,2),(0,2,1),(2,0,3):}], then prove that A is a root of th...

    Text Solution

    |

  13. Let A=[{:(2,3),(-1,2):}]andf(x)=x^(2)-4x+7 . Show that f(A)=O. Use thi...

    Text Solution

    |

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

    Text Solution

    |

  15. If A=[{:(2,3),(1,2):}], then prove that A^(3)-4A^(2)+A=O.

    Text Solution

    |

  16. If A=[{:(1,0),(-1,7):}], thenfind k such that A^(2)-8A+kI=O.

    Text Solution

    |

  17. If A=[{:(3,-2),(4,-2):}], then find k such that A^(2)=kA-2I .

    Text Solution

    |

  18. For the matrix A=[{:(3,1),(7,5):}] , find a and b such that A^(2)+aI...

    Text Solution

    |

  19. Given that, A=[{:(4,0),(2k,5k):}] and B=[{:(k,0),(3,-1):}] such that A...

    Text Solution

    |

  20. A factory makes three products P,Q and R .The table shows the units of...

    Text Solution

    |