Home
Class 11
MATHS
If A=((2,-2,-4),(-1,3,4),(1,-2,k)) is an...

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

Text Solution

Verified by Experts

The correct Answer is:
`-3`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES -EXERCISE - I|47 Videos

  • MATRICES

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

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.9 (Long Answer Questions)|9 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 =

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 ?

Assertio (A) : If [(x,1),(1,0)] is an idempotent matrix then x=0 Reason (R) : If A is an idempotent matrix then A^(2)=A

A: If [(2,4),(-1,k)] is a nilpotent matrix of index 2 then k=-2 R: If A is a nilpotent matrix of index 2 then A^(2)=O

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

Express the matrix B=[(2,-2,-4),(-1,3,4),(1,-2,-3)] as the sum of a symmetric and a skew symmetric matrix.

If A=[(1,1,1),(2,4,1),(2,3,1)],B=[(2,3),(3,4)] then the matrix BA is

O is the origin , P(2,3,4), Q(1,k,1) are points such that bar(OP) _|_ bar(OQ) then find k.

If (k, 2-2k), (-k+1, 2k), (-4-k,6-2k) , are collinear, then k =

AAKASH SERIES-MATRICES -ADDITIONAL EXERCISE
  1. If A["x y"],B((a,h),(h,b)),C=((x),(y)) then find ABC.

    Text Solution

    |

  2. If A=[(ab,b^(2)),(-a^(2),-ab)] then A is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If A=[(2,-2,-4),(-1,3,4),(1,-2,-3)] then A is

    Text Solution

    |

  6. If A,B are two idempotent matrices and AB=BA=O then A+B is

    Text Solution

    |

  7. If A is a square matrix then show that A+A^(T) and A A^(T) are symmetr...

    Text Solution

    |

  8. If 5A=[(3,-4),(4,x)] and "AA"^(T)=A^(T)A=I then x=

    Text Solution

    |

  9. If A, B are symmetric matrices of the same order then show that AB-BA ...

    Text Solution

    |

  10. A=[(1+i,2-3i,4),(7+2i,-i,3-2i)], find the conjugate of A.

    Text Solution

    |

  11. If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)], then show that A is ...

    Text Solution

    |

  12. If D=|(1,1,1),(1,1+x,1),(1,1,1+y)| for x!=0,y!=0 then D is

    Text Solution

    |

  13. If A=[a(ij)] is a scalar matrix of order nxxn such that a(ij)=k for al...

    Text Solution

    |

  14. If A is a 3xx3 matrix and det(3A)=k(detA) then k=

    Text Solution

    |

  15. If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...

    Text Solution

    |

  16. With the usual notation in DeltaABC det|(1,1,1),(sinA,sinB,sinC),(sin^...

    Text Solution

    |

  17. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|, Delta(2)=|(x,b),(a,x)| then

    Text Solution

    |

  18. Prove that |{:(1+a^(2)-b^(2),2ab,-2b),(2ab,1-a^(2)+b^(2),2a),(2b,-2a...

    Text Solution

    |

  19. If a!=p,b!=q,c!=r and |(p,b,c),(a,q,c),(a,b,r)|=0 then the value of P/...

    Text Solution

    |

  20. If a,b,c, are in A.P. then |(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|...

    Text Solution

    |