Home
Class 11
MATHS
Statement - I, The matrix [(1,-3,-4),(-1...

Statement - I, The matrix `[(1,-3,-4),(-1,3,4),(1,-3,-4)]` is a nilpotent matrix
Statement - II : The matrix`[(1,1,3),(5,3,4),(-2,-1,-3)]` is an idempotent matrix
Which of the above Statement(s) is true ?

A

only I is true

B

only II true

C

Both I & II are true

D

Neither I Nor II are true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES -PRACTICE EXERCISE|41 Videos

  • MATRICES

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

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES -EXERCISE - I|47 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=((2,-2,-4),(-1,3,4),(1,-2,k)) is an idempotent matrix then k =

The matrix [(3,2),(5,1)] is

If A=((2,-2,-4),(-1,3,4),(1,-2,k)) is an idempotent matrix then find k.

Show that the matrix A=[(1, -1, 5),(-1,2,1),(5,1,3)] is a symmetric matrix.

[(1,2,3),(2,3,4),(0,1,2)] find the rank of this matrix.

The matrix |(1,0,0),(2,1,0),(3,1,1)| is

Find the rank of the matrix [(1,4,-1),(2,3,0),(0,1,2)]

Statement - I If A=[(x,1),(1,0)] is an Involutory matrix then x=0 Statement -II : A=[(0,-i),(-i,0)] and A^(2)=KI then K=-1 Which of the above Statement(s) is true ?

AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES - EXERCISE - II
  1. If A^(2)=2A-I then for n!=2,A^(n)=

    Text Solution

    |

  2. If A=[(i,0,0),(0,i,0),(0,0,i)] then for ninN,A^(4n+1)=

    Text Solution

    |

  3. If A=((0,0),(1,1)) then the value of A+A^(2)+A^(3)+ . . . .A^(n)=

    Text Solution

    |

  4. If A=((2,-2,-4),(-1,3,4),(1,-2,k)) is an idempotent matrix then k =

    Text Solution

    |

  5. IF A=[{:(2,4),(-1,k):}] and A^2=0 then find the value of k

    Text Solution

    |

  6. A=[(1+i,2-3i,4),(7+2i,-i,3-2i)] then the conjugate of A is

    Text Solution

    |

  7. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

    Text Solution

    |

  8. If [(1,-tan theta),( tan theta,1)][(1,tan theta),(-tan theta, 1)]^-1=[...

    Text Solution

    |

  9. If [[x,4,-1]][(2,1,0),(1,0,2),(0,2,4)][(x),(4),(-1)]=0 then x=

    Text Solution

    |

  10. If A=[a(ij)] is a skew symmetric matrix of order 'n' then suma(ii)=

    Text Solution

    |

  11. The number of 2xx2 matrices that can be formed by using 1,2,3,4 withou...

    Text Solution

    |

  12. If a matrix has 13 elements, then the possible dimensions (orders) of ...

    Text Solution

    |

  13. Statement - I, The matrix [(1,-3,-4),(-1,3,4),(1,-3,-4)] is a nilpote...

    Text Solution

    |

  14. Statement - I If A=[(x,1),(1,0)] is an Involutory matrix then x=0 St...

    Text Solution

    |

  15. Arrange the following matrices in ascending order of value of their tr...

    Text Solution

    |

  16. If A is any square matrix. Observe the following lists and matching fr...

    Text Solution

    |

  17. Assertio (A) : If [(x,1),(1,0)] is an idempotent matrix then x=0 Rea...

    Text Solution

    |

  18. Assertion (A) : If A=[(x,3,-10),(-3,y,9),(10,-9,z)] is a skew symmetr...

    Text Solution

    |

  19. Assertion (A) : The matrix [(cosalpha,sinalpha),(-sinalpha,cosalpha)] ...

    Text Solution

    |

  20. Suppose A and B are two square matrices of same order. If A, B are sym...

    Text Solution

    |