Home
Class 12
MATHS
If A=[(x,1),(1,0)] and A=A^(-1), then x=...

If `A=[(x,1),(1,0)] and A=A^(-1)`, then x= . . . .

A

1

B

2

C

0

D

4

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|26 Videos
  • MATHEMATICAL LOGIC

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|78 Videos
  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos

Similar Questions

Explore conceptually related problems

If A=[(2x,0),(x,x)] and A^(-1)=[(1,0),(-1,2)] then x equals to

If A=[(x,0),(1,1)]andB=[(1,0),(5,1)] find x such that A^(2)=B .

if A=[[x,0],[-1,2x]] and A^-1 =[[1,0],[1/2,1/2]] then x is equal to (i) -2 (ii)-1 (iii)1 (iv)2

If [(1, 0 ,0 ),(0,y,0),( 0, 0, 1)][(x),(-1),(z)]=[(1),( 0),( 1)] , find x ,\ y\ a n d\ z .

If A is a square matrix of any order then |A-x|=0 is called the characteristic equation of matrix A and every square matrix satisfies its characteristic equation. For example if A=[(1,2),(1,5)], Then [(A-xI)], = [(1,2),(1,5)]-[(x,0),(0,x)]=[(1-x,2),(1-0,5-u)]=[(1-x,2),(1,5-x)] Characteristic equation of matri A is |(1-x,2),(1,5-x)|=0 or (1-x)(5-x0-2=0 or x^2-6x+3=0 Matrix A will satisfy this equation ie. A^2-6A+3I=0 A^-1 can be determined by multiplying both sides of this equation let A=[(1,0,0),(0,1,1),(1,-2,4)] ON the basis fo above information answer the following questions: |A^-1|= (A) 6 (B) 1/6 (C) 12 (D) none of these

If f(x)= {(([x]-1)/(x-1), x ne 1),(0, x=1):} then f(x) is

[{:(,x^(2)+x,-1),(,3,2):}]+[{:(,0,-1),(,-x+1,x):}]=[{:(,0,-2),(,5,1):}] then x is equalto-

MARVEL PUBLICATION-MATRICES-TEST YOUR GRASP
  1. If A and B are square matrices of order 3 such that det(A)=-2 and det(...

    Text Solution

    |

  2. If A is a non-singularmatrix such that A^(2)-A+I=O," then: "A^(-1)=

    Text Solution

    |

  3. If A=[(x,1),(1,0)] and A=A^(-1), then x= . . . .

    Text Solution

    |

  4. If AC=A" and "BA=B," then: "A^(2)=

    Text Solution

    |

  5. For a invertible matrix A if A(adjA)=[(10,0),(0,10)], then |A|=

    Text Solution

    |

  6. If A and B are square matrices of the same order such that A^(2)=A,B^(...

    Text Solution

    |

  7. If A={:[(2,3),(1,-1)]:}" and "A^(2)=A+B," then : "B=

    Text Solution

    |

  8. Solve system of linear equations, using matrix method, x y" "+" "2...

    Text Solution

    |

  9. If A={:[(1,2),(3,4)]:}," then: " adj(adjA)=

    Text Solution

    |

  10. If A={:[(4,2),(5,3)]:}" then :"|adj(adjA)|=

    Text Solution

    |

  11. If A={:[(2,-1,1),(1,2,1),(-1,1,3)]:}" then "|adj(adjA)|=

    Text Solution

    |

  12. If A={:[(secx,tanx),(tanx,secx)]:}" and "A(adj*A)=k{:[(1,0),(0,1)]:},"...

    Text Solution

    |

  13. If A=[[0,1] , [-1,0]]=(alphaI+betaA)^2 then alpha and beta =

    Text Solution

    |

  14. If A={:[(2,1),(3,2)]:}" and "B={:[(1,2),(-1,3)]:}," then: "B^(-1)A=

    Text Solution

    |

  15. If A={:[(2,3),(1,2)]:}" and "B={:[(3,1),(1,0)]:}," then: "B^(-1)A^(-1)...

    Text Solution

    |

  16. If square matrices A and B are such that A^(2)=A,B^(2)=B and A,B commu...

    Text Solution

    |

  17. If A=[a(ij)](3xx3) is a scalar matrix such that a(ij)=5" for all "i=j,...

    Text Solution

    |

  18. If A={:[(1,a),(0,1)]:}," then, for all "ninN," matrix "A^(n)=

    Text Solution

    |

  19. If A={:[(0,5),(4,0)]:}" and "A^(-1)=kA," then: "k=

    Text Solution

    |

  20. If f(x)=1+x+x^(2)+x^(3)" and "A={:[(0,3),(0,0)]:}," then: "f(A)=

    Text Solution

    |