Home
Class 11
MATHS
If A = [(4,2),(-1,x)] and such that (A-2...

If A = `[(4,2),(-1,x)]` and such that (A-2I) (A-3I) = 0, find the value of x.

Text Solution

Verified by Experts

The correct Answer is:
x=1
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 7.2|21 Videos

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 7.3|6 Videos

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|39 Videos

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise II. Choose the correct option for the following. (M.C.Q)|35 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,2,2),(2,1,-2),(x,2,y)] is a matrix such that "AA"^(T) =9I , find the values of x and y.

Consider, A=[(a,2,1),(0,b,0),(0,-3,c)] , where a, b and c are the roots of the equation x^(3)-3x^(2)+2x-1=0 . If matric B is such that AB=BA, A+B-2I ne O and A^(2)-B^(2)=4I-4B , then find the value of det. (B)

If (a^2-1)x^2+(a-1)x+a^2-4a+3=0 is identity in x , then find the value of a .

If A=[(3,-2),(4,-2)] and I=[(1,0),(0,1)] , find k so that A^(2)=kA-2I

What is Identity equation & Inequalities ? (i)If (a^2-1)x^2+(a-1)x+a^2-4a+3=0 is an identity in x; then find the value of a .

If A= [(3,4),(4,-3)] find x if det|A-xI| =0,where I is a unit matrix of order 2.

PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-SOLUTION TO EXERCISE 7.1
  1. Consider the matrix A(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)...

    Text Solution

    |

  2. Consider the matrix A(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)...

    Text Solution

    |

  3. If A = [(4,2),(-1,x)] and such that (A-2I) (A-3I) = 0, find the value ...

    Text Solution

    |

  4. If A = [(1,0,0),(0,1,0),(a,b,-1)], show that A^(2) is a unit matrix.

    Text Solution

    |

  5. If A = [(1,0,2),(0,2,1),(2,0,3)] "and" " "A^(3)-6A^(2)+7A+kI=0,find th...

    Text Solution

    |

  6. Given your own examples of matrices satisfying the conditions in each ...

    Text Solution

    |

  7. Given your own examples of matrices satisfying the conditions in each ...

    Text Solution

    |

  8. Given your own examples of matrices satisfying the conditions in each ...

    Text Solution

    |

  9. Show that f (x) f (y) = f(x+y) , where f(x)=[(cosx,-sinx,0),(sinx,co...

    Text Solution

    |

  10. If A is a square matrix such that A^(2) = A, find the value of 7A-(I+A...

    Text Solution

    |

  11. Verify the property A(B+C) = AB+AC, when the matrices A,B, and C are g...

    Text Solution

    |

  12. Find the matrix A which satisfies the matrix relation A [(1,2,3),(4,5,...

    Text Solution

    |

  13. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

    Text Solution

    |

  14. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

    Text Solution

    |

  15. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

    Text Solution

    |

  16. If A is a 3xx4 matrix and B is a matrix such that both A^(T)B and BA^(...

    Text Solution

    |

  17. Express the matrices as the sum of a symmetric matrix and a skew -sym...

    Text Solution

    |

  18. Express the matrices as the sum of a symmetric matrix and a skew -symm...

    Text Solution

    |

  19. Find the matrix A such that [(2,-1),(1,0),(-3,4)]A=[(-1,-8,10),(1,2,-5...

    Text Solution

    |

  20. If A=[(1,2,2),(2,1,-2),(x,2,y)] is a matrix such that "AA"^(T) =9I, fi...

    Text Solution

    |