### Solution Found!

# Let V Rn be a subspace. Show that V V = {0}

**Chapter 3, Problem 10**

(choose chapter or problem)

**QUESTION:**

Let \(V \subset \mathbb{R}^n\) be a subspace. Show that \(V \cap V^{\perp}=\{0\}\).

### Questions & Answers

(3 Reviews)

**QUESTION:**

Let \(V \subset \mathbb{R}^n\) be a subspace. Show that \(V \cap V^{\perp}=\{0\}\).

**ANSWER:**

Step 1 of 4

The main objective is to prove that \(V\cap{V^\bot}=\left\{0\right\}\) for any \(V\subset{R^n}\).

### Reviews

### Review this written solution for 965054) viewed: 145 isbn: 9781429215213 | Linear Algebra: A Geometric Approach - 2 Edition - Chapter 3.1 - Problem 10

Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.

No thanks, I don't want to help other students

### Review this written solution for 965054) viewed: 145 isbn: 9781429215213 | Linear Algebra: A Geometric Approach - 2 Edition - Chapter 3.1 - Problem 10

Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.

No thanks, I don't want to help other students

### Review this written solution for 965054) viewed: 145 isbn: 9781429215213 | Linear Algebra: A Geometric Approach - 2 Edition - Chapter 3.1 - Problem 10

Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.

No thanks, I don't want to help other students