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A: If [(2,4),(-1,k)] is a nilpotent matr...

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`

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Knowledge Check

  • 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
    Both A and R are true and R is the correct explanation of A
    B
    Both A and R are true R is not correct explanation of A
    C
    A is true R is false
    D
    A is false R is true

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

    A
    2
    B
    `-2`
    C
    3
    D
    `-3`

  • If ((1,2,x),(4,-1,7),(2,4,-6)) is a singular matrix, then x=

    A
    0
    B
    1
    C
    -3
    D
    3

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    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 ?

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