Home
Class 12
MATHS
If A=[[alpha , 0] ,[ 1 , 1]] and B=[[1 ,...

If `A=[[alpha , 0] ,[ 1 , 1]]` and `B=[[1 , 0] ,[ 5 , 1]]` whenever `A^(2)=B`, then value of `alpha` is

A

5

B

-1

C

11

D

no real value of `alpha`

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=[[alpha,0],[1,1]] and B=[[1,0],[5,1]] then the value of alpha for which A^2=B is

If A+B=[[1,0],[1,1]] and A-2 B=[[-1,1],[0,1]] then A=

If A= [[1, 0,0],[0,1, 0],[a, b,-1]] then A^2=

Let 1 gm s^-1 = alpha Ns then value of alpha is

If A = [(2,3),(1,-2)] and A^(-1) = alpha A , then the value of alpha is :

Let A = [[0, alpha],[0,0]] and(A+I)^(70) - 70 A = [[a-1,b-1],[c-1,d-1]], the value of a + b + c + d is

If A=[[1,2,-3] , [5,0,2] , [1,-1,1]] and B=[[3,-1,2] , [4,2,5] , [2,0,3]] then find matrix C such that A+2C=B

Let A= [[5,5 alpha, alpha],[0 ,alpha,5 alpha ],[0,0,5]] |A^(2)|=25, then |alpha|=

If f(x)=1+alphax,alphane0 is the inverse of itself, then the value of alpha is :

Let alpha and beta be the roots of equation px^(2) + qx + r = 0, p ne 0 . If p, q , r are in A.P. and (1)/(alpha) + (1)/(beta) = 4, then the value of | alpha - beta| is :

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  2. If f(x)=[[1 ,x ,x+1],[2 x ,x(x-1) ,(x+1) x],[3 x(x-1),x(x-1)(x-2) ,...

    Text Solution

    |

  3. If A=[[alpha , 0] ,[ 1 , 1]] and B=[[1 , 0] ,[ 5 , 1]] whenever A^(2)=...

    Text Solution

    |

  4. If A=[[a , b] ,[ b , a]] A^(2)=[[alpha , beta] ,[ beta , a]] then

    Text Solution

    |

  5. Let A = [(1,-1,1),(2,1,-3),(1,1,1)] and (10)B = [(4,2,2),(-5,0,alpha),...

    Text Solution

    |

  6. Let A=[[0, 0 ,-1],[0,-1,0],[-1,0,0]]. The only correct statement about...

    Text Solution

    |

  7. If A+B are square matrices of size nxxn such that A^(2) - B^(2) = (A-...

    Text Solution

    |

  8. Let A = ((1,2),(3,4)) and B = ((a,0),(0,b)), a b in N . Then :

    Text Solution

    |

  9. Let A= [[5,5 alpha, alpha],[0 ,alpha,5 alpha ],[0,0,5]] |A^(2)|=25, t...

    Text Solution

    |

  10. Let A = [[1,2],[0,1]]. Then A^(n) =

    Text Solution

    |

  11. If [[2+x,3,4],[1,-1,2],[x,1,-5]] is singular matrix then x is

    Text Solution

    |

  12. For the matrix A=[[1,1,0],[1,2,1],[2,1,0]] which is correct?

    Text Solution

    |

  13. If A^(2) - A + I = O , then the inverse of A is :

    Text Solution

    |

  14. If P= [[i,0,-i],[0,-i,i],[-i,i,0]], Q= [[-i,i],[0,0],[i, -i]] then P Q...

    Text Solution

    |

  15. If A= [[2,-1],[-1,2]] and I is the unit matrix of order 2 , then A^2 i...

    Text Solution

    |

  16. Let X= [[x1],[x2],[x3]], A= [[1,-1,2],[2,0,1],[3,2,1]] and B= [[3],[1]...

    Text Solution

    |

  17. Let X= [[x],[y],[z]], D= [[3],[5],[11]], A= [[1,-1,2],[2,1,1],[4,-1,-2...

    Text Solution

    |

  18. If X=[[1,1],[1,1]], then X^n, for n in N is equal to

    Text Solution

    |

  19. Let A and B be two square matrices such that A B=A and B A=B, then A^2...

    Text Solution

    |

  20. If A= [[cos x,sin x,0],[-sin x,cos x,0],[0,0,1]]=f(x) then A^-1=

    Text Solution

    |