Home
Class 12
MATHS
Let A = [[1,0],[-1,7]] and I = [[1,0],[0...

Let `A = [[1,0],[-1,7]]` and `I = [[1,0],[0,1]]` then find the K when `A^2= 8A+KI`.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If A={:[(1,0),(-1,7)] and I={:[(1,0),(0,1)] , then find k so that A^(2)=8A+kI

If A = [[x,1],[1,0]] and A^2 =I then find the value of x.

If A = [[3,1],[-1,2]],I= [[1,0],[0,1]] and O = [[0,0],[0,0]] show that A^2-5A+7I=0 . Hence find A^(-1) .

Let A = [(2,q),(0,1)] and A^(8) = [(x,yq),(0,1)], find x - y.

answer any one question A=[[1,0],[-1,7]] and I be the unit matrix of second order. If A^2=8A+kI , then find the value of k.

Verify that the matrix equation A^2 - 4a +3I =0 is satisfied by the matrix A = [[2,-1],[-1,2]] , where I = [[1,0],[0,1]] and 0= [[0,0],[0,0]] ,

Let A = [(2,8),(1,1)] , find A^(-1) .

If A={:[(0,-1),(1,0)]:} and B={:[(0,i),(i,0)]:} , then

Let A=({:(1,1,1),(0,1,1),(0,0,1):}) . Then for positive integer n, A^n is

Let A be a 3xx3 matric such that A . [(1,2,3),(0,2,3),(0,1,1)]=[(0,0,1),(1,0,0),(0,1,0)] , then find A^(-1) .

UNITED BOOK HOUSE-SET 6-EXERCISE
  1. Solve: (1+x^2)(dy)/(dx) = y+tan^(-1)x

    Text Solution

    |

  2. If vec p is a unit vector and (vec x- vecp).(vec x+ vecp) = 8 then fin...

    Text Solution

    |

  3. Find the intercepts made by the plane x-2y+3z-18=0 on the axes.

    Text Solution

    |

  4. If P(A) = 5/13,P(B)= 6/13 and P(AuuB) = 7//13 then find P(bar A//B) a...

    Text Solution

    |

  5. The mean and variance of a binomial distribution are 16 and 12 respect...

    Text Solution

    |

  6. Prove that tan^(-1) {(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cos x)-sqrt(...

    Text Solution

    |

  7. Let A = [[1,0],[-1,7]] and I = [[1,0],[0,1]] then find the K when A^2=...

    Text Solution

    |

  8. Show that A = [[1,2,2],[2,1,2],[2,2,1]] satrisfies the matrix equation...

    Text Solution

    |

  9. If alpha,beta,gamma are in A.P. then show that , |[x-3,x-4,x-alpha],[x...

    Text Solution

    |

  10. If sqrt(1-x^6)+sqrt(1-y^6) = a(x^3-y^3) then prove that (dy)/(dx)= x^2...

    Text Solution

    |

  11. If y = (x+ sqrt(1+x^2))^n then prove that (1+x^2)y2+xy1 = n^2y.

    Text Solution

    |

  12. Evaluate: int (dx)/(1+tanx)

    Text Solution

    |

  13. Evaluate: int e^x (2-sin 2x)/(1-cos 2x)dx

    Text Solution

    |

  14. Solve: (x+3)(dy)/(dx)-3y =(x+3)^5

    Text Solution

    |

  15. Solve: y^2dx+(xy+x^2)dy =0

    Text Solution

    |

  16. If vec axx vec b= vec cxxvec d and vec axxvec c= vec bxxvec d, vec a n...

    Text Solution

    |

  17. A and B toss a coin alternately untill one of them gets a head for the...

    Text Solution

    |

  18. Show that the sum of the intercepts of the tangent to the curve sqrtx+...

    Text Solution

    |

  19. Prove that the perpendicular distance of the line 3x+4y+5 =0 from ori...

    Text Solution

    |

  20. If vec a+ vec b+ vec c = vec 0 then prove that vec axx vec b= vec bxx ...

    Text Solution

    |