Home
Class 12
MATHS
If |A|=2 , where A is 2xx2 matrix, find ...

If `|A|=2` , where `A` is `2xx2` matrix, find `|a d j\ A|` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

If [[1 ,0],[y,5]]+2[[x,0], [1,-2]]=I , where I is 2xx2 unit matrix. Find x and y .

Show that thematrix A= [{:(,2,3),(,1,2):}] satisfies the equations A^(2)-4A+I=0 where I is 2 xx 2 identity matrix and O is 2 xx 2 zero matrix. Using the equations. Find A^(-1) .

A matrix of order 3xx3 has determinant 2. What is the value of |A(3I)| , where I is the identity matrix of order 3xx3 .

If A is a matrix of order 3 and |A|=8 , then |a d j\ A|= (a) 1 (b) 2 (c) 2^3 (d) 2^6

If A is an square matrix of order 3 such that |A|=2 , then write the value of |(a d j\ A)| .

Find all solutions of the matrix equation X^2=1, where 1 is the 2*2 unit matrix, and X is a real matrix,i.e. a matrix all of whose elements are real.

If A is an invertible matrix of order 3xx3 such that |A|=2 . Then, find |a d j\ A| .

If A is an invertible matrix of order 3 and |A|=5 , then find |a d j\ A| .

If A is square matrix of order 3 such that |a d j\ A|=64 , find |A| .

If A=[(3, 1) , ( 2 ,-3)] , then find |a d j\ A| .

RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. Find the value of x from the following: |[x,4],[ 2 ,2x]|=0

    Text Solution

    |

  2. Write the value of the determinant |[2, 3, 4],[ 5, 6 ,8],[ 6x,9x, 12...

    Text Solution

    |

  3. If |A|=2 , where A is 2xx2 matrix, find |a d j\ A| .

    Text Solution

    |

  4. What is the value of the determinant |[0, 2, 0 ],[2, 3, 4 ],[4, 5 ,6...

    Text Solution

    |

  5. For what value of x is the matrix [[6-x,4],[ 3-x,1]] singular?

    Text Solution

    |

  6. A matrix A of order 3xx3 is such that |A|=4 . Find the value of |2A| .

    Text Solution

    |

  7. Evaluate: |[cos15^@ sin15^@],[sin75^@cos75^@]| .

    Text Solution

    |

  8. If A=[[5, 3, 8],[ 2, 0, 1], [1 ,2 ,3]] . Write the cofactor of the e...

    Text Solution

    |

  9. If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|, then write the value of x .

    Text Solution

    |

  10. If |[2x,x+3],[ 2(x+1),x+1]|=|[1, 5],[ 3 ,5]| , then write the value ...

    Text Solution

    |

  11. If |[3x, 7], [-2 , 4]|=|[8, 7], [6, 4]| , find the value of xdot

    Text Solution

    |

  12. If |[2x,5], [8,x]|=|[6,-2], [7, 3]| , write the value of xdot

    Text Solution

    |

  13. If A is square matrix of order 3 matrix, |A| != 0 and |3A|=k|A| , then...

    Text Solution

    |

  14. Write the value of the determinant |[p ,p+1],[p-1,p]| .

    Text Solution

    |

  15. Write the value of |(x+y,y+z,z+x),(z,x,y),(-3,-3,-3)|

    Text Solution

    |

  16. If A=[[costheta,sintheta],[-sintheta,costheta]] , then for any natural...

    Text Solution

    |

  17. The maximum value of |(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)| is

    Text Solution

    |

  18. If x in N and |[x+3,-2],[-3x,2x]|=8, then find the value of xdot

    Text Solution

    |

  19. If |[x,sintheta,costheta],[-sintheta,-x,1],[costheta,1,x]|=8 , write t...

    Text Solution

    |

  20. If A and B are square matrices of order 2, then det(A+B)=0 is possib...

    Text Solution

    |