Home
Class 12
MATHS
If A=[[3,1],[-1,2]] then Hence show th...

If `A=[[3,1],[-1,2]]` then
Hence show that `A^2-5A+7I=0`

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    V PUBLICATION|Exercise QUESTION BANK|39 Videos

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|132 Videos

Similar Questions

Explore conceptually related problems

If A=[[1,3],[-2,4]] , then show that , A^2-5A+10I=0

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

Consider the matrix A=[[3,1],[-1,2]] Find k so that A^2=kA-7I

A=[[1,2,2],[2,1,2],[2,2,1]] , then show that A^2-4A=5I_3

If A=[(3,1),(-1,2)] . Show that A^2-5A+7I=0 Hence find A^4 and A^-1 .

If A = [[1,0,1],[0,1,2],[0,0,4]] , then show that |3A| = 27|A|

Let A=[[3,1],[-1,2]] Show that A^2-5A+7I=0

If A=[[1 , 2 , 3],[ 3, -2 , 1],[ 4, 2 , 1]] , then show that A^3-23 A-40 I=0

A=[[1,2,3],[3,-2,1],[4,2,1]] Show that A^3-23A-40I=0

If A=[[1, 0, 1],[ 0, 1, 2],[ 0, 0, 4]] then show that |3 A|=27|A|

V PUBLICATION-MATRICES-QUESTION BANK
  1. Find the values of x, y, z, if the matrix A=[[0, 2 y, z],[ x, y, ...

    Text Solution

    |

  2. For what values of x:[[1, 2, 1]] [[1, 2, 0],[ 2, 0, 1],[ 1, 0...

    Text Solution

    |

  3. If A=[[3,1],[-1,2]] then Hence show that A^2-5A+7I=0

    Text Solution

    |

  4. Find x, if [[x,-5,-1]] [[1, 0, 2],[ 0, 2, 1],[ 2, 0, 3]][[x],[...

    Text Solution

    |

  5. Find the matrix X so that X[[1 , 2, 3],[ 4, 5, 6]]=[[-7, -8, -9]...

    Text Solution

    |

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

    Text Solution

    |

  7. If A=[[alpha ,beta],[ gamma , -alpha]] is such that A^2=I, then A) ...

    Text Solution

    |

  8. If the matrix A is both symmetric and skew symmetric, then: A)A is a d...

    Text Solution

    |

  9. If A is a square matrix such that A^2=A, then (I+A)^3-7 A is equal to ...

    Text Solution

    |

  10. Construct a m xx n matrix A=[[a(ij)]] whose elements a(ij) is given by...

    Text Solution

    |

  11. If [[a+b ,2],[ 5 , a b]]=[[6 , 2],[ 5, 8]], find the values of a an...

    Text Solution

    |

  12. Complete the following product [[1 , 0 , -5],[ 2, 0, 4]][[3 , 1],[ ...

    Text Solution

    |

  13. Find the product [[2],[ -1],[ 3]][[1 , 3 ,6]]

    Text Solution

    |

  14. If omega is a complex cube root of unity, show that [[1 , omega, ome...

    Text Solution

    |

  15. If A(alpha)=[[cos alpha, sin alpha],[ -sin alpha , cos alpha]], then...

    Text Solution

    |

  16. Show that the matrix A=[[1 ,-1, 1],[ 1, -1, 1],[ 1, -1, 1]] is...

    Text Solution

    |

  17. There are three families. Family A consists of 2 men, 3 women and 1 ch...

    Text Solution

    |

  18. Express [[4 , 3 , 7],[ 6 , 5, -8],[ 1, 2, 6]] as the sum of a sy...

    Text Solution

    |

  19. a) Construct a 3 xx 3 matrix A whose elements are given by a(ij)=2 i-j...

    Text Solution

    |

  20. A=[[1, 4, -1],[ 2, 5, 4],[ -1, -6, 3]]Write A as the sum of a ...

    Text Solution

    |