Home
Class 12
MATHS
If A=[{:(1,0),(-1,7):}], thenfind k such...

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

Text Solution

Verified by Experts

The correct Answer is:
`k=7`
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=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}],k epsilon N

If A=[{:(8,0),(4,-2),(3,6):}]andB=[{:(2,-2),(4,2),(-5,1):}] ,thenfind the matrix X , such that 2A+3X=5B.

If A=[{:(2,1):}],B=[{:(5,3,4),(8,7,6):}]andC=[{:(-1,2,1),(1,0,2):}] then verify that A(B+C)=AB+AC .

Given that, A=[{:(4,0),(2k,5k):}] and B=[{:(k,0),(3,-1):}] such that AB=BA . From an equation in k and show that it reduces to 2k^(2)+17k-12=0

If [{:(3,2),(7,x):}][{:(5,-2),(-7,y):}]=[{:(1,0),(0,1):}] then find the value of x and y .

ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. Let A=[{:(2,3),(-1,2):}]andf(x)=x^(2)-4x+7 . Show that f(A)=O. Use thi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. A manufacturer sells the products x,y and z in two markets .Annual sal...

    Text Solution

    |

  10. A trust fund has Rs. 35000 is to be invested in two different types o...

    Text Solution

    |

  11. If AB= BA for any two square matrices , then prove by mathematical in...

    Text Solution

    |

  12. If A = diag [{:(a,b,c):}] , then show that A^(n)="diag"[{:(a^(n),b...

    Text Solution

    |

  13. If A=[{:(-1,2,3),(5,7,9),(-2,1,1):}]andB=[{:(-4,1,-5),(1,2,0),(1,3,1):...

    Text Solution

    |

  14. FIND (1)/(2)(A+A')and(1)/(2)(A-A') , where A=[{:(0,a,b),(-a,0,c),(-b,...

    Text Solution

    |

  15. Two shopkeepers A and B of a particular school have stock of books on ...

    Text Solution

    |

  16. Three schools A ,B and C want to award their selected students for ...

    Text Solution

    |

  17. If A=[{:(3,-4),(1,-1):}] , then show that (A-A') is a skew - symmetr...

    Text Solution

    |

  18. Show that the matrix B^(T) AB is symmetric or skew -symmetric , acco...

    Text Solution

    |

  19. Using elementary row transformation , find inverse of matrix A=[{:(6,...

    Text Solution

    |

  20. Find the inverse of matrix A=[{:(1,2,4),(-1,-2,-1),(2,1,-1):}] by ele...

    Text Solution

    |