Chapter 4.2, Problem 66E

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7th Edition

Stefan Waner + 1 other

ISBN: 9781337274203

Textbook Problem

A certain homogeneous system of linear equations in three unknowns (see Exercise 65) has a solution

To determine

Whether the solution

Explanation

**Given Information:**

A system of linear equations is called homogenous if the right hand side in each equation is 0.

A homogenous system of linear equations in three variables has a solution

Consider a system of equations which is homogenous and also this homogenous system of equations has a unique solution.

A system of equations which satisfy the given conditions can be obtained by replacing each unknown value in equation with zero as the right hand side of each equation has to be zero. This gives us a zero solution.

As the solution we are to find is a unique this comes out to be the only solution of the system of equations for the given conditions.

Now recall the given condition of the system of equations which says that a homogenous system of linear equations in three variables has a solution

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