Question

1. Create a matrix for the individual swimmers and name it A. What are the dimensions of matrix A? Enter your matrix as part of your answer.

Answer 1

Given

seven events at a swim meet

Find

Create a matrix for the individual swimmers and name it A. What are the dimensions of matrix A?

Step-by-step explanation

Danny got first place 3 times , second place 1 time , third place twice and fourth place one time.

john got first place 2 times , second place 3 time , third place twice and fourth place 0 time.

kenny got first place 0 time , second place 2 times , third place 4 times and fourth place two times.

sean got first place 1 time , second place 2 times , third place 3 times and fourth place one time

then the matrix for individual swimmers is

`A=\begin{bmatrix}{3} & {1} & {2} & {1} \\ {2} & {3} & {2} & {0} \\ {0} & {1} & {4} & {2} \\ {1} & {2} & {3} & {1}\end{bmatrix}`

and the dimension of matrix A is 4 * 4

Final Answer

Hence , the matrix is

`A=\begin{bmatrix}{3} & {1} & {2} & {1} \\ {2} & {3} & {2} & {0} \\ {0} & {1} & {4} & {2} \\ {1} & {2} & {3} & {1}\end{bmatrix}`

and the dimension of matrix A is 4 * 4