Home
Class 12
MATHS
A=[[1,2,2],[2,1,2],[2,2,1]] , then show ...

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

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    BODY BOOKS PUBLICATION|Exercise EXERCISE|2 Videos

  • PROBABILITY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|8 Videos

Similar Questions

Explore conceptually related problems

A=[[1,2,2],[2,1,2],[2,2,1]] , then Find 4A and A^2

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

A=[[1,2,3],[3,-2,1],[4,2,1]] A^-1

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

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

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

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

For the matrix A= [[1,1,1],[1,2,-3],[2,-1,3]] show that A^3-6A^2+5A+11I=0. Hence, find A^(-1)

A=[[1,-3,1],[2,0,4],[1,2,-2]] Show that AxxadjA=abs[A]I

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

BODY BOOKS PUBLICATION-MATRICES-EXERCISE
  1. Let A and B be two symmetric matrices of same order. Then show that AB...

    Text Solution

    |

  2. A=[[1,2,2],[2,1,2],[2,2,1]] , then Find 4A and A^2

    Text Solution

    |

  3. A=[[1,2,2],[2,1,2],[2,2,1]] , then show that A^2-4A=5I3

    Text Solution

    |

  4. If A=[(cos^2alpha,cosalphasinalpha),(cosalphasinalpha,sin^2alpha)] and...

    Text Solution

    |

  5. Let A=[(0,a),(b,0)] Find A^2

    Text Solution

    |

  6. Let A=[(0,a),(b,0)] If A^4=I2 then show that ab=1.

    Text Solution

    |

  7. Of the matrices A=[(2,1,3),(4,1,0)] and B=[(1,-1),(0,2),(5,0)] Find AB...

    Text Solution

    |

  8. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Show that (AB)^T=...

    Text Solution

    |

  9. If a matrix has 5 elements, write all possible order it can have.

    Text Solution

    |

  10. Consider the matrix A=[(3,10),(2,7)] Express the matrix as A=IA.

    Text Solution

    |

  11. Consider the matrix A=[(3,10),(2,7)] Find A^-1 using elementary row tr...

    Text Solution

    |

  12. If A=[[1 , 1, 1],[ 1, 1, 1],[ 1, 1 , 1]], prove that A^n=[[3^(n-...

    Text Solution

    |

  13. If A=[(costheta,sintheta),(-sintheta,costheta)] Find A^2

    Text Solution

    |

  14. If A=[[cos theta, sin theta],[ -sin theta, cos theta]], then prove ...

    Text Solution

    |

  15. F(x) =[[cos x, -sin x, 0],[ sin x, cos x, 0],[ 0, 0, 1]] Show ...

    Text Solution

    |

  16. F(x) =[[cos x, -sin x, 0],[ sin x, cos x, 0],[ 0, 0, 1]] Show ...

    Text Solution

    |

  17. F(x) =[[cos x, -sin x, 0],[ sin x, cos x, 0],[ 0, 0, 1]] Show ...

    Text Solution

    |

  18. Write two non-zero matrices A and B for which AB=0.

    Text Solution

    |

  19. Express A=[(1,-1),(2,3)] as the sum of a symmetric matrix and a skew s...

    Text Solution

    |

  20. Let A=[a(ij)](2times3) where a(ij=i+j. construct A.

    Text Solution

    |