Home
Class 11
MATHS
If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A...

If `A=[(1,1,3),(5,2,6),(-2,-1,-3)]` then A is

A

Idempotent matrix

B

Involutory matrix

C

Nilpotent matrix

D

Scalar matrix

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - I|15 Videos

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - II|52 Videos

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES - EXERCISE - II|34 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A^(3)=

IF A=[{:(1,1,3),(5,2,6),(-2,-1,-3):}] then find A^3 .

If A=[(1, 2,3), (1, 3, 5),(2, 1, 6)] , then (A))^(T)=

If A+2B=[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)] then tr(A)-tr(B)=

If A=[(2,3,1),(0,-1,5)],B=[(1,2,-1),(0,-1,3)] then 2A-3B=

If A=[(0,1,2),(1,2,3),(3,1,1)] and A^(-1)=[(1//2,-1//2,1//2),(-4,3,x),(5//2,-3//2,1//2)] then

I: If A=[(0,1,2),(2,3,4),(4,5,-6)],B=[(-1,2,3),(0,1,0),(0,0,-1)] then 4A-5B=[(5,-6,-7),(8,7,16),(16,20,-19)] II:If A=[(1,2,3),(3,2,1)]B=[(3,2,1),(1,2,3)] then 3B-2A=[(7,2,-3),(-3,2,7)]

AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -PRACTICE EXERCISE
  1. P+Q=[(1,6),(7,2)] , P is a symmetric, Q is a skew symmetric then P =

    Text Solution

    |

  2. If A=[(x,3,2),(-2,y,-7),(-2,7,0)] and A=-A^(T) then x+y=

    Text Solution

    |

  3. If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A is

    Text Solution

    |

  4. If A is square matrix then A A^(T) is . . . . Matrix

    Text Solution

    |

  5. Let A be a square matrix. Then A+A^(T) will be

    Text Solution

    |

  6. If A and B are two symmetric matrices then AB + BA is

    Text Solution

    |

  7. If A=((x,0,0),(0,x,0),(0,0,x)) then A^(n)=(ninN)

    Text Solution

    |

  8. If A is a symmetric matrix and n epsilon N, then A^(n) is

    Text Solution

    |

  9. If A=[(0,1),(1,0)] then A^(2004)=

    Text Solution

    |

  10. If A=[(1,3),(3,4)] and A^(2)-kA-5I(2)=O then k=

    Text Solution

    |

  11. If the matrix A=((1,-1),(-1,1)) then A^(n+1)=

    Text Solution

    |

  12. [(2,-1),(3,-2)]^(n)=[(1,0),(0,1)] if n is

    Text Solution

    |

  13. If A=[(1,1),(1,1)] and ninN then A^(n)=

    Text Solution

    |

  14. IF A=[{:(costheta,sintheta),(-sintheta,costheta):}] then show that for...

    Text Solution

    |

  15. If A=[(0,a+1,b-2),(2a-1,0,c-2),(2b+1,2+x,0)] is skew symmetric then a+...

    Text Solution

    |

  16. If A is a skew symmetric matrix and n is an even positive integer then...

    Text Solution

    |

  17. A=[a(ij)](3xx3) is a square matrix so that a(ij)=i^(2)-j^(2) then A is...

    Text Solution

    |

  18. A is a symmetric matrix or skew symmetric matrix. Then A^(2)is

    Text Solution

    |

  19. If A="diag "["1 -1 2"],B=" diag "["2 3 -1"] and 3A+4B = diag [...

    Text Solution

    |

  20. Observe the following lists and matching from List - I to List - II is...

    Text Solution

    |