# Consider the set S of points such that x 1 + 2x 2 + 3x 3 = 0, 3x 1

## Question:

Consider the set S of points such that

x_{1} + 2x_{2} + 3x_{3} = 0, 3x_{1} + 2x_{2} + x_{3} = 0.

Show that S is a subspace. Determine its dimension, and find a basis for it.

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## Step by Step Answer:

**Related Book For**

## Optimization Models

**ISBN:** 9781107050877

1st Edition

**Authors:** Giuseppe C. Calafiore, Laurent El Ghaoui

**Question Details**

Chapter #

**2**Section: EXERCISE

Problem: 1

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