Calculating with vectors

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From users who are members of Linear Algebra 1st year :

andrew tonks	said	Ready to use	4 years, 7 months ago
Julia Goedecke	said	Needs to be tested	4 years, 7 months ago

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andrew tonks 4 years, 7 months ago

Gave some feedback: Ready to use

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Julia Goedecke 4 years, 7 months ago

Published this.

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Julia Goedecke 4 years, 7 months ago

Gave some feedback: Needs to be tested

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Julia Goedecke 4 years, 7 months ago

Created this as a copy of Adding and subtracting vectors.

Name	Status	Author	Last Modified
Adding 2x2 matrices	Ready to use	Julia Goedecke	31/08/2021 10:06
Adding matrices of different sizes	Ready to use	Julia Goedecke	25/08/2021 12:57
Adding vectors	Ready to use	Julia Goedecke	25/08/2021 12:57
Adding and subtracting vectors	Ready to use	Julia Goedecke	25/08/2021 12:57
Calculating with vectors	Ready to use	Julia Goedecke	25/08/2021 12:57
Calculating with vectors - fixed size	Ready to use	Julia Goedecke	25/08/2021 12:57

There are 77 other versions that do you not have access to.

Question statement

Let $u=\var{u}$ , $v=\var{v}$ and $w=\var{w}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

rows	integer	4
v	vector	vector(-3,4,0,3)
w	vector	vector(4,-2,-4,-1)
u	vector	vector(5,3,-2,2)
sign1	integer	-1
sign2	integer	-1
lambda	integer	4
mu	integer	2
lambda1	integer	5
mu1	integer	3

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..4)

JME function reference

Description

size of the vectors

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0 Matrix entry
  1. Alt wrong brackets
  Add
Part b) Gap-fill
1. Gap Gap 0 Matrix entry
  1. Alt wrong brackets
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Calculate $\simplify{v + {lambda}*(u-{mu}w)}=$ Gap 0.

Advice

To multiply a vector by a scalar, we multiply each entry by that scalar. To add the resulting vectors, we add them entry by entry. Don't forget to resolve the brackets.

Part a)

$\simplify{v + {lambda}*(u-{mu}w)}=\begin{pmatrix}\simplify[]{{v[0]}+{lambda}*({u[0]}-{mu}*{w[0]})} \\ \simplify[]{{v[1]}+{lambda}*({u[1]}-{mu}*{w[1]})} \end{pmatrix} = \var{v+lambda*(u-mu*w)}$

$\simplify{v + {lambda}*(u-{mu}w)}=\begin{pmatrix}\simplify[]{{v[0]}+{lambda}*({u[0]}-{mu}*{w[0]})} \\ \simplify[]{{v[1]}+{lambda}*({u[1]}-{mu}*{w[1]})} \\\simplify[]{{v[2]}+{lambda}*({u[2]}-{mu}*{w[2]})} \end{pmatrix} = \var{v+lambda*(u-mu*w)}$

Part b)

$\simplify[]{{lambda1}*u +{mu}({mu1}v+{lambda}w)}=\begin{pmatrix}\simplify[]{{lambda1}{u[0]}+{mu}({mu1}{v[0]}+{lambda}*{w[0]})}\\ \simplify[]{{lambda1}{u[1]}+{mu}({mu1}{v[1]}+{lambda}*{w[1]})}\\ \simplify[]{{lambda1}{u[2]}+{mu}({mu1}{v[2]}+{lambda}*{w[2]})}\end{pmatrix}=\var{lambda1*u+mu*(mu1*v+lambda*w)}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet

This question is used in the following exams:

Vectors Introduction by Julia Goedecke in Linear Algebra 1st year.
Week 4 Vectors intro by Timur Zaripov in XE420.
Vectors Introduction by Zeke Ahern in MXB100 quizzes.
Quiz G by Zeke Ahern in MXB100 quizzes.
Quiz G by Zeke Ahern in Zeke's workspace.
NCDCS Test UNIT 1 Introduction to Matrices & Vectors by Terry Young in NCDCS Unit 0 Course Intro.
XE420-21 - W4 - Introduction to Vectors by Timur Zaripov in XE420.
XE420-22 - W04 - Introduction to Vectors by Timur Zaripov in XE420.
NCM4 FE-F2022 UNIT 8 All by Terry Young in NCM4 FINAL EXAM Fall 2022.
All the good stuff by Chris Templet in Chris's workspace.
XE420-24 - W04 - Introduction to Vectors by Timur Zaripov in XE420.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

andrew tonks 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Calculating with vectors

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

andrew tonks 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`