Home
Class 12
MATHS
If {:A=[(1,0,0),(0,1,0),(a,b,-1)]:}, the...

If `{:A=[(1,0,0),(0,1,0),(a,b,-1)]:}`, then `A^2` is equal to

A

unit matrix

B

`sum a_n`

C

Zero

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-II)|17 Videos

  • MATRICES

    FIITJEE|Exercise COMPREHENSIONS|8 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-II)|13 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,0,0),(0,1,0),(1,b,-10] then A^2 is equal is (A) unit matrix (B) null matrix (C) A (D) -A

If A[(1, 0, 0),(x, 1, 0),(x, x, 1)] and I=[(1, 0, 0),(0,1,0),(0,0,1)] , then A^(3)-3A^(2)+3A is equal to

If A=[(1, 0,0),(0,1,0),(a,b,-1)] and I is the unit matrix of order 3, then A^(2)+2A^(4)+4A^(6) is equal to

If A=[{:(0,1),(1,0):}] then A^(2) is equal to

If A=[[1,0,0],[0,1,0],[a,b,-1]] , find A^2

A=[[0,1],[1,0]] ,then A^(2) is equal to

FIITJEE-MATRICES -ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)
  1. If A and B matrices commute then

    Text Solution

    |

  2. If A, B, C are invertible matrices, then (ABC)^(-1)=

    Text Solution

    |

  3. If {:A=[(1,0,0),(0,1,0),(a,b,-1)]:}, then A^2 is equal to

    Text Solution

    |

  4. Trace of a skew symmetric matrix is always equal to

    Text Solution

    |

  5. If An= [ad ]A2 =[{:( a2, as),( a4 .a5):}], A5 =[{:( a6,a7,a8),( a9,a1...

    Text Solution

    |

  6. If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,s...

    Text Solution

    |

  7. If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,s...

    Text Solution

    |

  8. If A={:[(i,i),(-i,i)] and B= [{:( 1,-1),(-1,1) :}] then A^(8) equal...

    Text Solution

    |

  9. Let Aa n dB be two 2xx2 matrices. Consider the statements A B=O A+Oo...

    Text Solution

    |

  10. The number of 3xx3 matrices with entries from the set {-1, 0,1} such t...

    Text Solution

    |

  11. If A and B are symmetric matrices of order n(A!=B) then (A) A+B is ske...

    Text Solution

    |

  12. The number of all the matrices A= [adj ]1le 1i,le 4 such that a(ij) =...

    Text Solution

    |

  13. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

    Text Solution

    |

  14. The values of x for which the matrix [[x+a,b,c],[a,x+b,c],[a,b,x+c]] ...

    Text Solution

    |

  15. If Aa n dB are square matrices of the same order and A is non-singular...

    Text Solution

    |

  16. The inverse of a skew symmetric matrix is

    Text Solution

    |

  17. If [{:( 1,2,3),(1,3,5),(1,5,12):}] then adj (adj A) is

    Text Solution

    |

  18. Let A be a square matrix of order 3 such that transpose of inverse of ...

    Text Solution

    |

  19. If A =[{:( alpha , a ),( beta , b),( gamma, c):}] then (A)A^(T) is

    Text Solution

    |

  20. If A and B are non-singular square matrices of same order then adj(AB)...

    Text Solution

    |