Home
Class 12
MATHS
Show that [[0,1],[1,0]] is its own inver...

Show that `[[0,1],[1,0]]` is its own inverse.

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    SHARAM PUBLICATION|Exercise EXAMPLE|37 Videos

  • MODEL QUESTION PAPER -1

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

Similar Questions

Explore conceptually related problems

Prove that a unit matrix is its own inverse. Is the converse true ?

Prove that a unit matrix is its own inverse Is the converse true ?

Let f be defined by f (x)=2x + 1 for all xinR . Show that f is bijective and determine the inverse of f. Find f^(-1)(0),f^(-1)(2) and f^(-1)(-1) .

Define involuntary matrix and show that [(0,1,-1),(4,-3,4),(3,-3,4)] is an involuntary matrix.

If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]] , show that for no values of alpha, A^2=B .

Find the inverse of the matrix [[1,2,3],[2,1,4],[1,0,2]] .

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

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

Show that the point (-frac{1}{2},2,0) is the circumcentre of the triangle formed by the points (1,1,0)(1,2,1) and (-2,2-1) .

SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. A is a square matrix of order 3. write the value n, |2A|=n|A|.

    Text Solution

    |

  2. If A=[{:(1,2,0),(0,1,3),(-2,5,3):}] then verify that A+A is symmetric ...

    Text Solution

    |

  3. Show that [[0,1],[1,0]] is its own inverse.

    Text Solution

    |

  4. Express [[1 2 3] [4 0 1] [-1 5 -2]] as a sum of a symmetric and a skew...

    Text Solution

    |

  5. If underset(n)(I) is an identity matrix of order n, then k being a nat...

    Text Solution

    |

  6. If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) bo...

    Text Solution

    |

  7. IF [{:(3,5,3),(2,4,2),(lamda,7,6):}] is a singular matrix, then write ...

    Text Solution

    |

  8. If [{:(3,2),(7,x):}][{:(5,-2),(-7,y):}]=[{:(1,0),(0,1):}] then find th...

    Text Solution

    |

  9. If A is a square matrix of order 3 and |A|=3,then write the matrix rep...

    Text Solution

    |

  10. If A be an invertible-matrix, then det (A^(-1)) is equal to.

    Text Solution

    |

  11. The matrix A satisfying the equation [[1,3],[0,1]] A=[[1,1],[0,-1]], i...

    Text Solution

    |

  12. How many entries are there in a 3xx4 matrix

    Text Solution

    |

  13. If [[x,y]]+[[3,4]]=[[2,-1]]then what are the values of x and y?

    Text Solution

    |

  14. Find a 2 xx 2 matrix A such that A+[[1,2],[1,1]]=[[2,0],[0,2]].

    Text Solution

    |

  15. If A=[[2,3,4,5],[6,7,8,9],[1,-3,5,6]] then what is the order of A^T...

    Text Solution

    |

  16. If 2[{:(3,4),(5,x):}]+[{:(1,y),(0,1):}]=[{:(7,0),(10,5):}], then find ...

    Text Solution

    |

  17. Solve the following matrix equation for x [[x,1]] [[1,0],[-2,0]]=0.

    Text Solution

    |

  18. If [[x-y,z],[2x-y,w]]=[[-1,4],[0,5]] then find the value of x+y.

    Text Solution

    |

  19. If [{:(a+4,3b),(8,-6):}]=[{:(2a+2,b+2),(8,a-8b):}] then write the val...

    Text Solution

    |

  20. Find the value of a if [[a-b,2a+c],[2a-b,3c+d]]=[[-1,5],[0,13]].

    Text Solution

    |