Matrices Application

A second-order dominance matrix X^2 is depicted above. Which of the following is true?

• Player A beat two players who beat B

• Player D beat B

• Player E lost to A

• Player C beat one player who beat E

Consider the Leslie matrix given on the left. How many age groups are there?

• 2

• 3

• 4

• 9

How many female offspring do 1-year-olds have on average?

How many female offspring do 3-year-olds have on average?

What do w, x, y and z equal in this matrix equation?

• w = 13, x = 4, y = 7, z = 23

• w = 13, x = -4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 17

Find 2B-5A

• 
• 
• 
• 

Find 3B - 2A

• [22 25]

  [17 3]

• [14 5]

  [-11 3]

• [-14 5]

  [11 -3]

• none of these

Find 2A-3B

• -3 1

  7 -1

• 1 0

  1 -4

• -4 0

  6 -1

• -14 -5

  11 -3

Suppose the three age groups are newborns, 1-year-old, and 2-year-olds. Which of the following is correct?

• The 1-year-olds have 0 female offspring on average.

• 80% of the 1-year-olds survive into the 2-year-old age group.

• The 2-year-olds have on average 2.5 female offspring.

• 40% of the 1-year-olds survive into the 2-year-old age group.

What are the dimensions (order) of this matrix?