Home
Class 12
MATHS
If matrix A=[{:(1,-1),(-1,1):}]andA^(2)=...

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

Text Solution

Verified by Experts

The correct Answer is:
k=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=[{:(1,2),(3,-1):}] and B=[{:(1,3),(-1,1):}] then write the value of [AB].

If [{:(x+1,x-1),(x-3,x+2):}]=[{:(4,-1),(1,3):}] then write the value of x.

If |k vec a| = 1 then the value of k = ___.

If [[1,3],[4,5]]=[[7,11],[k,23]] then write the value of k.

Find the adjoint of the matrix A=[{:(-1,-2,-2),(2,1,-2),(2,-2,1):}] and hence show that A (adj A)= |A| I_

Using elementary row transformation , find the inverse of the matrix A=[{:(3,-1),(-4,2):}] .If A^(-1)=(1)/(2)[{:(2,a),(b,3):}] , then find the values of a and b .

If int_(-1/2)^(1/2) cosx In(1+x)/(1-x) dx = kIn^2 then write the value of k.

If the distance between the points (-1, -1, k) and (1,-1,1) is 2 then what is the value of k ?

ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. Suppose A=[{:(5,4),(2,3):}]andB=[{:(3,5,1),(6,8,4):}] , then find AB a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |