Mathematik-Online problems: Problem 35: Scalar Product and Linear Dependence

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	Mathematik-Online problems:
	Problem 35: Scalar Product and Linear Dependence

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Proof: Two vectors $x, y\in\mathbb{R}^{\mathit n}$ satisfy the condition $(x^{\operatorname t}y)^2=(x^{\operatorname t}x)(y^{\operatorname t}y)$ , if and only if they are linearly dependent.

(Authors: Kimmerle/Apprich/Höfert)

see also:

Keyword: Linear dependent, independent
Keyword: Vector operation: scalar product

[Solutions]

automatisch erstellt am 29. 10. 2004