Answered: In how many ways can you write the…

In how many ways can you write the vector (4, 3, 2, 1) as a linear combination of (4, 3, 0, 0), (0, 0, 4, 3) and (0, 0, 0, 1)?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...

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Question

In how many ways can you write the vector (4, 3, 2, 1) as a linear combination of (4, 3, 0, 0), (0, 0, 4, 3) and (0, 0, 0, 1)?

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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