Answered: Determine three of the given vectors…

Determine three of the given vectors that form a basis for space (R^3) and express the fourth vector as a linear combination of these basis vectors. p=[1,1,- 1], q= [-1,1,1], r= [1,3,-1], s = [1,1,0]

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.1: Vector In R^n

Problem 28E

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Question

Determine three of the given vectors that form a basis for space (R^3) and express the fourth vector as a linear combination of these basis vectors.

p=[1,1,- 1], q= [-1,1,1], r= [1,3,-1], s = [1,1,0]

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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