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

Chapter 3, Problem 10

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QUESTION:

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

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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 \(V\subset{R^n}\).

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

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Textbook: Linear Algebra: A Geometric Approach

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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.

Textbook: Linear Algebra: A Geometric Approach

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