Soru 3For what values of the scalar k are the three row vectors (k,1,0), (1,k,1) and (0,1,k) linearly dependent?Ak=1,2,3k=0, ± /2c) All real numbers except k=0, ± 2k=-1, ± 2Soru 4Let W be a subspace of R given by

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For what values of the scalar k are the three row vectors (k,1,0), (1,k,1) and (0,1,k) linearly dependent? k=1,2,3 k=0, ± /2 All real numbers except k=0, ± 2 k=-1, ± 2

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...

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Concept explainers

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

Question

Soru 3
For what values of the scalar k are the three row vectors (k,1,0), (1,k,1) and (0,1,k) linearly dependent?
A
k=1,2,3
k=0, ± /2
c) All real numbers except k=0, ± 2
k=-1, ± 2
Soru 4
Let W be a subspace of R given by

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