Home
Class 12
MATHS
If A is a non-singular square matrix s...

If `A` is a non-singular square matrix such that `A^(-1)=[(5, 3),(-2,-1)]` , then find `(A^T)^(-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

If A is a non-singular square matrix such that |A|=10 , find |A^(-1)|

If A is a non - singular matrix then

If A is a non singular square matrix; then adj(adjA) = |A|^(n-2) A

If A is a non singular square matrix; then adj(adjA) = |A|^(n-2) A

If A is a non-singular matrix of order nxxn such that 3ABA^(-1)+A=2A^(-1)BA , then

If A is a non singular square matrix of order 3 such that A^(2)=3A , then the value of |A| is

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

If A is a non-singular square matrix of order 3 such that A^2 = 3A, then value of |A| is A) (-3) B) 3 C) 9 D) 27

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

If A is an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A^T," then " B B^T equals

RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
  1. If A is a non-singular square matrix such that |A|=10 , find |A^(-1...

    Text Solution

    |

  2. If A ,\ B ,\ C are three non-null square matrices of the same order...

    Text Solution

    |

  3. If A is a non-singular square matrix such that A^(-1)=[(5, 3),(-2,-1...

    Text Solution

    |

  4. If a d j\ A=[(2, 3),(4,-1)] and a d j\ B=[(1,-2),(-3, 1)] , find a d j...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If A is a square matrix of order 3 such that |A| =3 then find the val...

    Text Solution

    |

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

    Text Solution

    |

  9. If A is a square matrix, then write the matrix a d j(A^T)-(a d j\ A...

    Text Solution

    |

  10. Let A be a 3xx3 square matrix such that |A| = 3 Write the value o...

    Text Solution

    |

  11. If A is a non-singular symmetric matrix, write whether A^(-1) is sy...

    Text Solution

    |

  12. If A=[(costheta,sintheta),(-sintheta,costheta)] , then find the value...

    Text Solution

    |

  13. If A is an invertible matrix such that |A^(-1)|=2 , find the value ...

    Text Solution

    |

  14. If A is a square matrix such that A(a d j\ A)=[(5, 0, 0),(0, 5, 0),(...

    Text Solution

    |

  15. If A=[(2, 3),(5,-2)] be such that A^(-1)=k\ A , then find the value of...

    Text Solution

    |

  16. Let A be a square matrix such that A^2-A+I=O , then write A^(-1) in...

    Text Solution

    |

  17. If A(i j) is the cofactor of the element a(i j) of the determinant [(2...

    Text Solution

    |

  18. Find the inverse of the matrix [(3 ,-2 ),(-7 , 5)] .

    Text Solution

    |

  19. Find the inverse of the matrix [(costheta ,sintheta) ,( -sintheta ,c...

    Text Solution

    |

  20. If A=[(1 ,-3),( 2, 0)] , write a d j\ A .

    Text Solution

    |