Find the solution set that can be written as an order triple.
Answer to Problem 79E
The solution set can be written as an order triple with the form
Explanation of Solution
Given:
The system of equations
Let consider the following system of equations
The augmented matrix for the above system of equations is
Let's use matrix capabilities of a graphing utility or graphing calculator to write the matrix in reduced row-echelon form and reduced row-echelon form as
By converting back to the corresponding system of equations,
Solving for y in terms of z,
Here the variables y and z depend on each other, so infinite number of solutions.
To write a solution of the system that does not use any of the three variables of the system, let a is real number such that
Now, by the above equations,
So, the solution set can be written as an order triple with the form
Chapter 8 Solutions
EBK PRECALCULUS W/LIMITS
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