Linear Algebra 18Suppose you are now in a three-dimensional world for the carpet ride problem, and youhave three modes of transportation:=v₂ =638You are only allowed to use each mode of transportation once (in the forward or backwarddirection) for a fixed amount of time (c₁ on V₁, C₂ on V2, C3 on V3).V3 = 161. Find the amounts of time on each mode of transportation (C₁, C2, and c3, respec-tively) needed to go on a journey that starts and ends at home or explain why it isnot possible to do so.4. What is span2. Is there more than one way to make a journey that meets the requirements describedabove? (In other words, are there different combinations of times you can spendon the modes of transportation so that you can get back home?) If so, how?6-(0·0·0)863. Is there anywhere in this 3D world that Gauss could hide from you? If so, where?If not, why not?

Answered: Image /qna-images/answer/b3e26c7f-3389-4a12-9d22-02809badf83c.jpg

Answered: If not, why not? 1 6 4 -(0·0·0); 3 1 8…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CM: Cumulative Review Problem Set

Problem 114CM

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Linear Algebra

18
Suppose you are now in a three-dimensional world for the carpet ride problem, and you
have three modes of transportation:
=
v₂ =
6
3
8
You are only allowed to use each mode of transportation once (in the forward or backward
direction) for a fixed amount of time (c₁ on V₁, C₂ on V2, C3 on V3).
V3 = 1
6
1. Find the amounts of time on each mode of transportation (C₁, C2, and c3, respec-
tively) needed to go on a journey that starts and ends at home or explain why it is
not possible to do so.
4. What is span
2. Is there more than one way to make a journey that meets the requirements described
above? (In other words, are there different combinations of times you can spend
on the modes of transportation so that you can get back home?) If so, how?
6
-(0·0·0)
8
6
3. Is there anywhere in this 3D world that Gauss could hide from you? If so, where?
If not, why not?

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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