Find matrix from entry formula (same as WBQ 1.23)

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4 years, 6 months ago

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Name	Status	Author	Last Modified
Find matrix from entry formula (same as WBQ 1.23)	Ready to use	Julia Goedecke	25/08/2021 12:57
Find matrix from entry formula ( WBQ 1.23 randomized size and formula)	Ready to use	Julia Goedecke	25/08/2021 12:57
copy of Find matrix from entry formula ( WBQ 1.23 randomized size and formula)	Ready to use	Julia Goedecke	25/08/2021 12:57
Find matrix from entry formula	Ready to use	Julia Goedecke	25/04/2022 08:58

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Question statement

(This question is not randomised. You can find a version with randomised matrix size, see link in Workbook.)

Find the $\var{m}\times \var{n}$ matrix $A=(a_{ij})_{\var{m}\times \var{n}}$ whose entries satisfy the stated condition:

Give any introductory information the student needs.

			Name	Type	Generated Value

m	integer	4
n	integer	4
rawA1	list	List of 16 items
A1	matrix	Matrix of size 4×4
rawA2	list	List of 16 items
A2	matrix	Matrix of size 4×4
rawgeneralA	list	List of 16 items
generalA	string	\begin{pmatrix}a_{11}&a_{12}&a
symbols	list	Nested 4×4 list
rawunresolvedA1	list	List of 16 items
unresolvedA1	string	\begin{pmatrix}1+1&1+2&1+3&1+4
rawunresolvedA2	list	List of 16 items
unresolvedA2	string	\begin{pmatrix}1^0&1^1&1^2&1^3

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
4

JME function reference

Description

number of rows

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`

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Matrix entry
  Add
Part b) Gap-fill
1. Gap Matrix entry
  Add

Gap-fill

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

$a_{ij}=i+j$ . Then $A=$ Unnamed gap

Advice

The entry $a_{ij}$ is the entry in row $i$ and column $j$ . So when we know the row and column, we can work out the entry from the formula.

a) $a_{ij}=i+j$ , so $a_{11}=1+1=2$ and $a_{12}=1+2=3$ and so on.

$A = \var{generalA} =\var{unresolvedA1}= \var{A1}$

b) $a_{ij}=i^{j-1}$ , so $a_{11}=1^{0}=1$ and $a_{22}=2^{1}=2$ and so on.

$A = \var{generalA} =\var{unresolvedA2}= \var{A2}$

Give a worked solution to the whole question.

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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 exam:

Matrices Intro by Julia Goedecke in Linear Algebra 1st year.

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Find matrix from entry formula (same as WBQ 1.23)

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Julia Goedecke 4 years, 6 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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Error

Find matrix from entry formula (same as WBQ 1.23)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Julia Goedecke 4 years, 6 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`