Chapter 8, Problem 32RE

To determine

To write: the augmented matrix corresponding to the system of linear equation in reduced row echelon form by using graphing utility.

Answer to Problem 32RE

The system has no solution

Explanation of Solution

Given information:

Given equations

  $\begin{array}{l}4x+12y+2z=20\\ x+6y+4z=12\\ x+6y+z=8\\ -2x-10y-2z=-10\end{array}$

Calculation:

SO, the augmented matrix first three equation is:

  $\left[\begin{array}{cccc}4& 12& 2& 20\\ 1& 6& 4& 12\\ 1& 6& 1& 8\\ -2& -10& -2& -10\end{array}\right]$

Use the T1-83 calculator to enter the matrix as shown below.

Click on 2^nd button and $"x^{-1"}$ button in T1-83 calculator and go to the edit tab then below

Screen will appear.

Select 1 for matrix $A$ then below screen will appear asking to enter the matrix

Enter the size of the matrix and the elements of the matrix

Click on 2^nd button and $"x^{-1"}$ button in T1-83 calculator, go to the “math” tab and select “B” for reduced row echelon form,

Click on 2^nd button and $"x^{-1"}$ button in T1-9=83 calculator, select the matrix,

Finally, the below screen will appear,

Click on ENTER

Hence the system has no solution.