Home
Class 12
MATHS
If A is an orthogonal matrix then find |...

If A is an orthogonal matrix then find |A|.

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 hati +hatj+hatk and 2hati -alphahatj+3hatk are orthogonal to each other then find alpha

If A is a square matrix of order 2, then find det(adjA) .

If A is an invertible matrix of order 2, then find det(A^(-1)) .

If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is a skew -symmetric matrix , then find the values of a , b and c .

If A=[[2,0,-3],[4,3,1],[-5,7,2]] is expressed as sum of a symmetric and skew symmetric matrix , then find the symmetric matrix.

If Ais a square matrix and absA=10 , then find abs(A^-1) .

If A is a matrix of order 3 times 3 then find the number of minors in determinant A.

SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. Transform [[6,3],[2,2]] into unit matrix.

    Text Solution

    |

  2. If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], then prove...

    Text Solution

    |

  3. If A is an orthogonal matrix then find |A|.

    Text Solution

    |

  4. IfA is annon singular matrix ofsize 3 //3 then what is adj. (adjA) ?

    Text Solution

    |

  5. IfAand B are two square matrices such that B = -A^(-1)BA then show th...

    Text Solution

    |

  6. If 3A-B=[{:(5,0),(1,1):}] and B=[{:(4,3),(2,5):}] then find the matrix...

    Text Solution

    |

  7. If x[[2],[3]]+y[[-1],[1]]=[[10],[5]] then write the value of x.

    Text Solution

    |

  8. Find the value of y and x from the following equation 2[{:(x,5),(7,y-...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |