Home
Class 12
MATHS
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

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise MATCH THE COLUMN|4 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-II)|17 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

A football player scored the following number of goals in the 10 matches 1,3,2,5,8,6,1,4,7 and 9. Since, the number of matches is 10 (an even number), therefore Median =(5th "observation"+6th "observation")/2=(8+6)/2=7 Is it the correct answer and why?

If 3^( rd ) term of H .P is 7 and 7^(th ) term of H .P is 3 then 10^(th ) term is

A football team won 10 matches out of the total number of matches they played.If their win percentage was 40 ,then how many matches did they play in all?

Study the following diagram and answer questions based on it. The number of Non-Chess players is how much more than the players who play both Chess and Tennis?

If (7,-6), (2,k) and (h,18) are the vetices of a triangle and P(1,5) is the centroid , then find the values of h and k .

Number of arrangements of 3 cricketers,3 hockey players and 3 football players such that no three persons of the same game are next to each other is