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a matrix H= h(ij) is used to keep track...

a matrix H= `h_(ij) ` is used to keep track of three football players (numbered 1,2,and 3) in three matches `1^(st) ,2^(nd) and 3^(rd) `
` Re(H_k) =`number of matches in which both )and `k^(th) ` players or both did not play (if) jk it is 3)
Img `(h_(k) = ` ( number of matches played by`j^(th) ` player )
Let P= `[P_(ik) ]. P_(ik) =1 ` if player played in `k^(th)` match and `p_k) ` =-i otherwise ` (i=sqrt(-1) ) ` then , |det(H) is equal to

A

|det (P) `|_3`

B

|det (P)`|^(2) `

C

|det(P)`|^(3) `

D

none of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • a matrix H= [h_(ij) is used to keep track of three football players (numbered 1,2,and 3) in three matches 1^(st) ,2^(nd) and 3^(rd) Re(H_k) = number of matches in which both ))and k^(th) players or both did not play (if) jk it is 3) Img (h_(k) = ( number of matches played by j^(th) player ) det (H) is

    A
    complex with imaginary part a multiple of 4
    B
    non-positive multiple of 3
    C
    non-negative multiple of 4
    D
    none of these

  • The number of players in a football team is

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    13
    B
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    7
    D
    9

  • Who among the following cricket players has not died while playing a match ?

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    Wasim Raja
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    Phillip Hughes
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