Home
Class 12
MATHS
If A=[1 0 2 0 2 1 2 0 3] , prove that A^...

If `A=[1 0 2 0 2 1 2 0 3]` , prove that `A^3-6A^2+7A+2I=0`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 3.2) Choose the correct answer|2 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 3.3)|10 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 3.1)|10 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Chapter Test|12 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

Similar Questions

Explore conceptually related problems

If A=[[1,0,20,2,12,0,3]], prove that A^(3)-6A^(2)+7A+2I=0

If A=[[2,-1, 1],[-1 ,2,-1],[ 1, 1, 2]] .Verify that A^3-6A^2+9A-4I=0 and hence find A^(-1) .

If A[(1,0,2),(0,2,1),(2,0,3)] and A^(3)-6A^(2)+7A+kI_(3)=O find k.

If A=[{:(1,0,2),(0,2,1),(2,0,3):}] and A^(3)-6A^(2)+7A+kI_(3)=O , find k.

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

If A=[[1,-1,2],[3,0,-2],[1,0,3]] then prove that A*(adjA)=|A|I Also,find A^(-1)

A = [[1,0,20,2,12,0,3]] and A ^ (2) -6A ^ (2) + 7A + kI_ (3) = 0

If I=[[1,0],[0,1]] and E=[[0,1],[0,0]] prove that (2I+3E)^3=8I+36E

The mtrix A is given by A=[[1,2-3,0]]. Prove that A^(2)+3A+5I=[[3,8-12,-1]]

MODERN PUBLICATION-MATRICES-NCERT - FILE (Question from NCERT Book) (Exercise 3.2)
  1. A=[{:(2,4),(3,2):}],B=[{:(1,3),(-2,5):}],C=[{:(-2,5),(3,4):}] find ...

    Text Solution

    |

  2. compute the following : (i) [{:(a,b),(-b,a):}]+[{:(a,b),(b,a):}] (...

    Text Solution

    |

  3. Compute the indicated products (i) [(a,b),(-b,a)][(a,-b),(b,a)] (...

    Text Solution

    |

  4. if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]a...

    Text Solution

    |

  5. A=[[2/3,1,5/3],[1/3,2/3,4/3],[7/3,2,2/3]] and B=[[2/5,3/5,1],[1/5,2/5,...

    Text Solution

    |

  6. costheta[{:(costheta,-sin theta),(sintheta,costheta):}]+sintheta[{:(si...

    Text Solution

    |

  7. Find X and Y, if(i) X+Y=[7 0 2 5]and X-Y=[3 0 0 3](ii) 2X+3Y=[2 3 4 0]...

    Text Solution

    |

  8. Find X if Y=[3 2 1 4] and 2X+Y=[1 0-3 2] .

    Text Solution

    |

  9. Find X and Y,if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8...

    Text Solution

    |

  10. Find x ,\ y ,\ z ,\ t if 2[x z y t]+3[1-1 0 2]=3[3 5 4 6] .

    Text Solution

    |

  11. If x[2 3]+y[-1 1]=[10 5] , find the values of x and y.

    Text Solution

    |

  12. Given 3[x y z w]-[x6-1 2w]+[4x+y z+w3] , find the values of x, y, z an...

    Text Solution

    |

  13. If F(x)=[{:(cosx,-sinx,0),(six,cosx,0),(0,0,1):}], show that F(x).F(y)...

    Text Solution

    |

  14. Show that (i) [(5,-1),(6,7)][(2,1),(3,4)]!=[(2,1),(3,4)][(5,-1),(6,7...

    Text Solution

    |

  15. Find A^2-5A+6I , if A=[2 0 1 2 1 3 1-1 0]

    Text Solution

    |

  16. If A=[1 0 2 0 2 1 2 0 3] , prove that A^3-6A^2+7A+2I=0

    Text Solution

    |

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

    Text Solution

    |

  18. Let A=[0-tan(alpha//2)tan(alpha//2)0] and I be the identity matrix ...

    Text Solution

    |

  19. A trust fund has Rs 30,000 that must be invested in two different t...

    Text Solution

    |

  20. The bookshop of a particular school has 10 dozen chemistry books, 8...

    Text Solution

    |