Chapter 4.1, Problem 3CYP

A.

To determine

To find: The given data in the matrix form.

Answer to Problem 3CYP

The given data in the matrix form is $\mathrm{A}=\left[\begin{array}{cc}7.1& 6.6\\ 6.8& 5.9\\ 3.2& 2.2\\ 1.1& 1.4\end{array}\right]$ .

Explanation of Solution

Given information:

The given set of information is,

  

The given data in the matrix form is obtained as

  $\mathrm{A}=\left[\begin{array}{cc}7.1& 6.6\\ 6.8& 5.9\\ 3.2& 2.2\\ 1.1& 1.4\end{array}\right]$

Thus, the given data in the matrix form is $\mathrm{A}=\left[\begin{array}{cc}7.1& 6.6\\ 6.8& 5.9\\ 3.2& 2.2\\ 1.1& 1.4\end{array}\right]$

B.

To determine

To find: The addition of the element in the column.

Answer to Problem 3CYP

The addition of the element in the column is $\mathrm{A}=\left[\begin{array}{ccccc}7.1& +& 6.6& =& 13.7\\ 6.8& +& 5.9& =& 12.7\\ 3.2& +& 2.2& =& 5.4\\ 1.1& +& 1.4& =& 2.5\end{array}\right]$ .

Explanation of Solution

Given information:

The given set of information is,

  

The given data in the matrix form is obtained as

  $\mathrm{A}=\left[\begin{array}{cc}7.1& 6.6\\ 6.8& 5.9\\ 3.2& 2.2\\ 1.1& 1.4\end{array}\right]$

The addition of the element in the column is calculated as,

  $\mathrm{A}=\left[\begin{array}{ccccc}7.1& +& 6.6& =& 13.7\\ 6.8& +& 5.9& =& 12.7\\ 3.2& +& 2.2& =& 5.4\\ 1.1& +& 1.4& =& 2.5\end{array}\right]$

Thus, the addition of the element in the column $\mathrm{A}=\left[\begin{array}{ccccc}7.1& +& 6.6& =& 13.7\\ 6.8& +& 5.9& =& 12.7\\ 3.2& +& 2.2& =& 5.4\\ 1.1& +& 1.4& =& 2.5\end{array}\right]$

C.

To determine

To find: The addition of the element in the column.

Answer to Problem 3CYP

The addition of the element in the column is $\mathrm{A}=\left[\begin{array}{cc}7.1& 6.6\\ 6.8& 5.9\\ 3.2& 2.2\\ 1.1& 1.4\\ 18.2& 16.1\end{array}\right]$ .

Explanation of Solution

Given information:

The given set of information is,

  

The given data in the matrix form is obtained as

  $\mathrm{A}=\left[\begin{array}{cc}7.1& 6.6\\ 6.8& 5.9\\ 3.2& 2.2\\ 1.1& 1.4\end{array}\right]$

The addition of the element in the column is calculated as,

  $\mathrm{A}=\left[\begin{array}{cc}7.1& 6.6\\ 6.8& 5.9\\ 3.2& 2.2\\ 1.1& 1.4\\ 18.2& 16.1\end{array}\right]$

Thus, the addition of the element in the column $\mathrm{A}=\left[\begin{array}{cc}7.1& 6.6\\ 6.8& 5.9\\ 3.2& 2.2\\ 1.1& 1.4\\ 18.2& 16.1\end{array}\right]$

D.

To determine

To find: The average of the rows or the columns.

Explanation of Solution

Given information:

The given set of information is,

  

The average of the column is providing the meaningful data.