Ugur's copy of Eigenvalues

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Ugur Efem

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Created this as a copy of Eigenvalues.

Name	Status	Author	Last Modified
Find eigenvalues and eigenvectors of matrices, and power of one matrix	draft	Newcastle University Mathematics and Statistics	20/11/2019 14:50
First Order Differential Equations - Coupled FINISHED	draft	Gareth Woods	26/08/2016 14:36
Gareth's copy of Find eigenvalues and eigenvectors of matrices, and power of one matrix	draft	Gareth Woods	26/08/2016 11:21
Simon's copy of Find eigenvalues and eigenvectors of matrices, and power of one matrix	draft	Simon Vaughan	09/11/2016 16:37
Alex's copy of Simon's copy of Find eigenvalues and eigenvectors of matrices, and power of one matrix	draft	Alex Van den Hof	20/02/2017 15:52
Ch10 Q5	draft	Alex Van den Hof	20/02/2017 16:05
Harry's copy of Find eigenvalues and eigenvectors of matrices, and power of one matrix	draft	Harry Flynn	09/03/2018 14:47
Simon's copy of Find eigenvalues and eigenvectors of matrices, and power of one matrix	draft	Simon Thomas	12/06/2019 09:53
Priyanka's copy of Find eigenvalues and eigenvectors of matrices, and power of one matrix	draft	Priyanka Pandya	10/02/2020 16:21
Eigenvalues	draft	Heather Driscoll	06/05/2021 10:51
Eigenvectors	draft	Heather Driscoll	21/04/2021 15:31
Ugur's copy of Find eigenvalues and eigenvectors of matrices, and power of one matrix	Ready to use	Ugur Efem	13/10/2024 20:16
Ugur's copy of Eigenvalues	Ready to use	Ugur Efem	13/10/2024 20:15

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Question statement

Find the eigenvalues of matrix $A$ :

$A=\begin{pmatrix} \var{a11}&\var{a12}\\ \var{a21}&\var{a22} \end{pmatrix}$

Give any introductory information the student needs.

			Name	Type	Generated Value

lambda1	integer	-5
lambda2	integer	2
b	integer	3
c	integer	-10
a11	integer	2
a22	integer	-5
d	integer	0
a12	integer	2
a21	rational	0

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-5..-1)

JME function reference

Description

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

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Generated value: `integer`

-5

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap lambda1 Number entry
  Add
2. Gap lambda2 Number entry
  Add

Gap-fill

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

Find the eigenvalues of $A$ .

Let $\lambda_1$ be the least eigenvalue of $A,\;\;\; \lambda_1=\;\;$ lambda1

Let $\lambda_2$ be the greatest eigenvalue of $A,\;\; \lambda_2=\;\;$ lambda2

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Please see lecture notes for worked example.

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

This question is used in the following exams:

Linear Algebra 1 by Ugur Efem in Ugur's workspace.
ENG1501 - Mock Test - Unlimited Time (full syllabus) by Zepeng Liu in Zepeng's workspace.
ENG1501 Exam - May 2025 by Zepeng Liu in Zepeng's workspace.

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Taxonomy: mathcentre

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Checkpoint description

Ugur Efem 5 months, 4 weeks ago

Ugur Efem 5 months, 4 weeks ago

Ugur Efem 6 months ago

Error in variable testing condition

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Generated value: `integer`

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Ugur's copy of Eigenvalues

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ugur Efem 5 months, 4 weeks ago

Ugur Efem 5 months, 4 weeks ago

Ugur Efem 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`