Home
Class 12
MATHS
Find the non-singular matrices A, if its...

Find the non-singular matrices `A,` if its is given that `adj(A)=[[-1,-2,1],[3, 0,-3],[1,-4,1]]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA ENGLISH|Exercise All Questions|410 Videos

Similar Questions

Explore conceptually related problems

Find the non-singular matrices A , if it is given that a d j\ (A)=[-1-2 1 3 0-3 1-4 1] .

If A and B are non - singular matrices of order three such that adj(AB)=[(1,1,1),(1,alpha, 1),(1,1,alpha)] and |B^(2)adjA|=alpha^(2)+3alpha-8 , then the value of alpha is equal to

For two non-singular matrices A&B, show that adj (AB)=adj(AB)=(adjB)(adjA)

4) find the rank of [[1,-3,1,2],[0,1,2,3],[3,4,1,-2]]

If A,B,C are non - singular matrices of same order then (AB^(-1)C)^(-1)=

A square non-singular matrix A satisfies A^2-A+2I=0," then "A^(-1) =

If A,B and C arae three non-singular square matrices of order 3 satisfying the equation A^(2)=A^(-1) let B=A^(8) and C=A^(2) ,find the value of det (B-C)

Find adj for A=[[2 , 3 ] , [1 , 4]]

If A and B are two non-singular matrices which commute, then (A(A+B)^(-1)B)^(-1)(AB)=

If A is a 2xx2 non singular matrix, then adj(adj A) is equal to :

RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
  1. Find the non-singular matrices A, if its is given that adj(A)=[[-1,-2,...

    Text Solution

    |

  2. If A is a non-singular matrix, prove that: adjA is also non -singular...

    Text Solution

    |

  3. If A is a non-singular matrix, prove that (a d jA)^(-1)=(a d jA^(-1))d...

    Text Solution

    |

  4. Find the matrix A such that |A|=2\ a n d\ a d j(A)=[(2, 2, 0),( 2, 5, ...

    Text Solution

    |

  5. If A is a square matrix of order 3 such that |A|=2 , then write the va...

    Text Solution

    |

  6. If A is a square matrix of order 3 such that |A| =3, then find the va...

    Text Solution

    |

  7. Compute the adjoint of the matrix A given by A=[[1, 4, 5],[ 3 ,2, 6],[...

    Text Solution

    |

  8. Find the inverse of the matrix A=[[8,4,2],[2,9,4],[1,2,8]]

    Text Solution

    |

  9. If A is a square matrix of order n , prove that |Aa d jA|=|A|^n

    Text Solution

    |

  10. Find the adjoint of matrix A=[a(i j)]=[[1, 1, 1],[ 2, 1,-3],[-1, 2, 3]...

    Text Solution

    |

  11. For the matrix A=[[3 ,1],[ 7, 5]], find x and y sot that A^2+x I+y A...

    Text Solution

    |

  12. Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equatio...

    Text Solution

    |

  13. If A=[(cosalpha,-sinalpha,0),(sinalpha,cosalpha,0),( 0, 0, 1)], find a...

    Text Solution

    |

  14. If A=[[1,tanx],[-tanx,1]], show that A^T A^(-1)=[[cos2x,-sin2x],[sin2...

    Text Solution

    |

  15. If matrix A=[02 y z x y-zx-yz] satisfies AT = A-1, then find the valu...

    Text Solution

    |

  16. Find a 2x2 matrix B such that B[1-2 1 4]=[6 0 0 6]

    Text Solution

    |

  17. Find the matrix A satisfying the matrix equation [2 1 3 2]A[-3 2 5-3]...

    Text Solution

    |

  18. If A is a symmetric matrix, write whether A^T is symmetric or skew-sym...

    Text Solution

    |

  19. Using elementary row transformation find the inverse of the matrix A=[...

    Text Solution

    |

  20. Let A be a non-singular matrix. Show that A^T A^(-1) is symmetric if...

    Text Solution

    |