Home
Class 12
MATHS
If A=[[3,-2],[1,2]] and A^2+k A+8 I=0, t...

If `A=[[3,-2],[1,2]]` and `A^2+k A+8 I=0`, then` k=`

A

a.3

B

b.2

C

c.5

D

d.-5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If A=[[1,0],[-1,7]] and A^2-8 A+k I=0 , then k=

If A=[(1,-3),(2,k)] and A^(2)-4A+10I=A , then k =

If A= [[0,2],[3,-4]], k A= [[0,3a],[2b,24]] then the value of k, a, b are respectively

The points (6,-1,2),(5,2,4) and (8,-7,k) are collinear, then k =

If A=[{:(0,2),(3,-4):}] and k A =[{:(0,3a),(2b,24):}], then find the value of b-a-k.

If the position vectors of A and B are 3i - 2i + k and 2i + 4j - 3k then the length of AB is

Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt(k),1,-2k),(-2sqrt(k),2k,-1)] and B=[(0,2k-1,sqrt(k)),(1-2k,0,2),(-sqrt(k),-2sqrt(k),0)] . If det (adj A) + det (adj B) =10^(6) , then [k] is equal to ______ . [Note : adj M denotes the adjoint of a square matrix M and [k] denotes the largest integer less than or equal to k .]

If f(x)={((sin3x)/(e^(2x)-1),,,x!=0),(k-2,:,x=0):} is Continuous at x=0, then k=

Let k be a positive real number and let |A|=(2 k+1)^3 and B=[[0,2k,-sqrt k ],[-2k,0,2sqrt k],[sqrt k, -2sqrt k,0]] . If |adj A|+|adj B|=10^6 then [k]= ([k]= the greatest integer less than or equal to k)

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If the matrix A=[[8,-6,2],[-6,7,-4],[2,-4,lambda]] is singular, then l...

    Text Solution

    |

  2. If A= [[3,-3,4],[2,-3,4],[0,-1,1]]then

    Text Solution

    |

  3. If A=[[3,-2],[1,2]] and A^2+k A+8 I=0, then k=

    Text Solution

    |

  4. If A=[[1,0],[-1,7]] and A^2-8 A+k I=0, then k=

    Text Solution

    |

  5. The sum of the eigen values of the matrix A=[[2,-1,3],[1,4,2],[3,1,1]]...

    Text Solution

    |

  6. The product of the eigen values of the matrix A= [[3,-1],[2,3]] is

    Text Solution

    |

  7. If 4,-3 are the eigen values of a 2xx 2 matrix A and |A|=6, then the e...

    Text Solution

    |

  8. If A=[[1,a],[0,1]], then lim (n to oo)(1)/(n) A^n is

    Text Solution

    |

  9. Let k be a positive real number and let |A|=(2 k+1)^3 and B=[[0,2k,-...

    Text Solution

    |

  10. If A=[[-1,2,1],[1,-1,2],[2,1,1]], then det(a d j(adj A))=

    Text Solution

    |

  11. For a 3xx 3 matrix A, if A .(adj A)=[[3,0,0],[0,3,0[,[0,0,3]] then |A|...

    Text Solution

    |

  12. If A= [[4,x+2],[2x-3, x-1]] is symmetric then x=

    Text Solution

    |

  13. If A= [[2,0,0],[0,2,0],[0,0,2]] then A^6=

    Text Solution

    |

  14. Total number of possible symmetric matrices of order 3xx 3, whose entr...

    Text Solution

    |

  15. If A is matrix of order mxxn and B is a matrix such that AB' and B'A...

    Text Solution

    |

  16. If A and B are matrices of same order then(A B^prime-B A^prime) is

    Text Solution

    |

  17. If A is a square matrix such that A^(2) = I , then : (A-I)^(3) +(A+I)...

    Text Solution

    |

  18. On using elementary operation C(2) to C(2) - 2C(1) in the following ma...

    Text Solution

    |

  19. On using clementary row operation R1 to R1-3 R2 in the following matr...

    Text Solution

    |

  20. If matrix A = [a(ij)] (2xx2) where a(ij) {:(-1," if " i !=j ),(=0 , ...

    Text Solution

    |