Chapter 4.2, Problem 11CYU

(a)

To determine

The matrix for the given information.

Answer to Problem 11CYU

The required matrix is $\left[\begin{array}{cc}85& 72\\ 75& 74\\ 96& 83\end{array}\right]$ .

Explanation of Solution

Given:

The given table is shown in Table 1

Table 1

Student	Test1	Test 2
Geraldo	85	72
Olivia	75	74
Nikki	96	83

Calculation:

From table 1, the matrix for the given information is,

  $\left[\begin{array}{cc}85& 72\\ 75& 74\\ 96& 83\end{array}\right]$

(b)

To determine

To Find: The sum of the scores from the two tests expressed as the matrix.

Answer to Problem 11CYU

The required matrix is $\left[\begin{array}{c}157\\ 149\\ 179\end{array}\right]$ .

Explanation of Solution

Consider the matrix for the given data,

  $\left[\begin{array}{cc}85& 72\\ 75& 74\\ 96& 83\end{array}\right]$

The sum of the scores is obtained as,

  $\left[\begin{array}{cc}85& 72\\ 75& 74\\ 96& 83\end{array}\right]=\left[\begin{array}{c}157\\ 149\\ 179\end{array}\right]$

(c)

To determine

To Find: The difference in the score from test 1 to test 2 as the matrix.

Answer to Problem 11CYU

The required matrix is $\left[\begin{array}{c}13\\ 1\\ 13\end{array}\right]$ .

Explanation of Solution

Consider the matrix for the given data,

  $\left[\begin{array}{cc}85& 72\\ 75& 74\\ 96& 83\end{array}\right]$

The difference of the scores is obtained as,

  $\left[\begin{array}{cc}85& 72\\ 75& 74\\ 96& 83\end{array}\right]=\left[\begin{array}{c}13\\ 1\\ 13\end{array}\right]$