Home
Class 12
MATHS
If matrix A=[[3,-3],[-3,3]] and A^2= lam...

If matrix `A=[[3,-3],[-3,3]]` and `A^2= lambda A` then write the value of `lambda`.

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    SHARAM PUBLICATION|Exercise EXAMPLE|37 Videos
  • MODEL QUESTION PAPER -1

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

Similar Questions

Explore conceptually related problems

If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the value of lambda.

If A is square matrix such that A^(2)=A , then write the value of (I+A)^(3)-7A . Where I is an identity matrix .

If [[3,x],[7,5]]+[[1,-2],[-4,y]]=[[3,2],[5,1]] then write the value of x and y.

IF [{:(3,5,3),(2,4,2),(lamda,7,6):}] is a singular matrix, then write the value of lamda

SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. Find the value of y and x from the following equation 2[{:(x,5),(7,y-...

    Text Solution

    |

  2. Simplify: cos theta[[cos theta , sin theta],[-sin theta , cos theta]]+...

    Text Solution

    |

  3. If matrix A=[[3,-3],[-3,3]] and A^2= lambda A then write the value of ...

    Text Solution

    |

  4. For a 2xx 2 matrix A = [a(ij)] whose elements are given by a(ij) =i/j ...

    Text Solution

    |

  5. If [[9,-1,4],[-2,1,3]]=A+[[1,2,-1],[0,4,9]]then find the matrix A.

    Text Solution

    |

  6. If [[x,x-y],[2x+y,7]]=[[3,1],[8,7]] then find the value of y.

    Text Solution

    |

  7. If [[y+2x,5],[-x,3]]=[[4,5],[-2,3]]then find the value of y.

    Text Solution

    |

  8. If [[2x,1],[5,x+2y]]=[[4,1],[5,0]]then find the value of x+y.

    Text Solution

    |

  9. If [[2x+y,3y],[0,4]]=[[6,0],[0,4]]then find the value of x.

    Text Solution

    |

  10. If [[1,3],[4,5]]=[[7,11],[k,23]]then write the value of k.

    Text Solution

    |

  11. Find x from the matrix equation [{:(1,3),(4,5):}][{:(x),(2):}]=[{:(5)...

    Text Solution

    |

  12. Findthe inverse ofthe matrix[[1,1,2],[0,1,2],[1,2,1]].

    Text Solution

    |

  13. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

    Text Solution

    |

  14. If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I

    Text Solution

    |

  15. If A =[[1,2,2],[2,1,2],[2,2,1]] then prove that A^2-4A-5I=0.

    Text Solution

    |

  16. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]], show that for no values of...

    Text Solution

    |

  17. Find the inverse of the matrix [[0,0,2],[0,2,0],[2,0,0]].

    Text Solution

    |

  18. If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...

    Text Solution

    |

  19. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

    Text Solution

    |

  20. [[1,-2],[3,2]][[x,2],[1,y]]=[[-3,4],[-1,4]]Find x and y.

    Text Solution

    |