Home
Class 12
MATHS
Find the inverse of the matrix A=[[8,4,2...

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

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 inverse of the matrix A= [(3,1),(4,2)]

Using elementary row transformations, find the inverse of the matrix A=[[1,2,3],[2,5,7],[-2,-4,-5]]

By using elementary operations, find the inverse of the matrix A=[[1, 2], [2, -1]] .

Using elementary transformations, find the inverse of the matrix [[2,-3],[-1, 2]]

Find the inverse of the matrix |[2,-1], [3, 4]| .

Using elementary transformations, find the inverse of the matrix [[2 ,1],[ 4, 2]]

Using elementary transformations, find the inverse of the matrix [[3,-1],[-4, 2]]

Using elementary transformations, find the inverse of the matrix [[3,-1],[-4, 2]]

Using elementary transformations, find the inverse of the matrix A = [[ 8, 4, 3 ], [ 2, 1, 1 ], [ 1, 2, 2 ]] and use it to solve the following system of linear equations : 8x+4y+3z=19 2x+y+z=5 x+2y+2z=7

Using elementary transformations, find the inverse of the matrix [[2, 1],[ 1, 1]]

RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
  1. If A is a square matrix of order 3 such that |A| =3, then find the va...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1...

    Text Solution

    |

  17. Find the adjoint of matrix A=[a(i j)]=[(p, q),( r, s)] .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Find the inverse of the matrix |[2,-1], [3, 4]| .

    Text Solution

    |