Chapter 16.1, Problem 1MRE

To determine

To write: the elements of row 2 for the given matrix.

Answer to Problem 1MRE

The elements of row 2 are

  $9,0,-3,5$ .

Explanation of Solution

Given information:

Given matrix,

  $A=\left[\begin{array}{cccc}3& -4& \frac{1}{2}& 0\\ 9& 0& -3& 5\\ 2& 6& 1& -6\end{array}\right]$

Calculation:

Consider the given matrix.

  $A=\left[\begin{array}{cccc}3& -4& \frac{1}{2}& 0\\ 9& 0& -3& 5\\ 2& 6& 1& -6\end{array}\right]$

Now, matrix can be written as

  $\begin{array}{l}\begin{array}{ccccc}\begin{array}{l}{C}_1\\ \downarrow \end{array}& \begin{array}{l}{C}_2\\ \downarrow \end{array}& \begin{array}{l}{C}_3\\ \downarrow \end{array}& \begin{array}{l}{C}_4\\ \downarrow \end{array}& \end{array}\\ A=\begin{array}{c}{R}_1\to \\ R_2\to \\ R_3\to \end{array}\left[\begin{array}{cccc}3& -4& \frac{1}{2}& 0\\ 9& 0& -3& 5\\ 2& 6& 1& -6\end{array}\right]\end{array}$

The elements of row 2 are

  $9,0,-3,5$ .