Home
Class 12
MATHS
What is the inverse of : [[1,0,0],[0,1,0...

What is the inverse of :
`[[1,0,0],[0,1,0],[0,0,1]]`

Text Solution

Verified by Experts

`I=[[1,0,0],[0,1,0],[0,0,1]]` is a `3xx3` unit matrix
`:.I^2=I`
`impliesI^-I=I`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    MBD PUBLICATION|Exercise QUESTION BANK|108 Videos
  • PERMUTATIONS AND COMBINATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

What is the inverse of : [[1,0],[0,1]]

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

Can the inverse of the following matric be found ? [[1,0,0],[0,1,0],[0,0,1]]

Evaluate the following determinants. [[1,0,0],[0,1,0],[0,0,1]]

Find the inverse of the matrix [[0,0,2],[0,2,0],[2,0,0]] .

What is the value of |[0,8,0],[25,520,25],[1,410,0]| ?

Matrices X and Y are such that 3X + 4Y = I and X-2Y = 2I where I denotes the identity [[1,0,0],[0,1,0],[0,01] matrix . Determine X.

Find the inverse of the following : [[1,0],[0,1]]

Find the inverse of the following : [[1,0],[0,-1]]

MBD PUBLICATION-MATRICES-QUESTION BANK
  1. Show that [[0,1],[1,0]] is its own inverse.

    Text Solution

    |

  2. Express as a sum of a symmetric and a skew symmetric matrix: [[1,2,3],...

    Text Solution

    |

  3. Express as a sum of a symmetric and a skew symmetric matrix: [[2,-1,3]...

    Text Solution

    |

  4. Express as a sum of a symmetric and a skew symmetric matrix: [[x,a,b],...

    Text Solution

    |

  5. Express as a sum of a symmetric and a skew symmetric matrix: [[0,x],[-...

    Text Solution

    |

  6. Express as a sum of a symmetric and a skew symmetric matrix: [[1,5],[7...

    Text Solution

    |

  7. Express as a sum of a symmetric and a skew symmetric matrix: [[4,-3],[...

    Text Solution

    |

  8. Express as a sum of a symmetric and a skew symmetric matrix: [[0,1],[1...

    Text Solution

    |

  9. What is the inverse of : [[1,0],[0,1]]

    Text Solution

    |

  10. What is the inverse of : [[1,0,0],[0,1,0],[0,0,1]]

    Text Solution

    |

  11. Find inverse of the following matrices by elementary row/column operat...

    Text Solution

    |

  12. Find inverse of the following matrices by elementary row/column operat...

    Text Solution

    |

  13. Find inverse of the following matrices by elementary row/column operat...

    Text Solution

    |

  14. Find inverse of the following matrices by elementary row/column operat...

    Text Solution

    |

  15. Find inverse of the following matrices by elementary row/column operat...

    Text Solution

    |

  16. Find inverse of the following matrices by elementary row/column operat...

    Text Solution

    |

  17. Find the inverse of the following matrices using elementary transforma...

    Text Solution

    |

  18. Find the inverse of the following matrices using elementary transforma...

    Text Solution

    |

  19. Find the inverse of the following matrices using elementary transforma...

    Text Solution

    |

  20. Find the inverse of the following matrices using elementary transforma...

    Text Solution

    |