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Tamsin Smith 7 months, 1 week ago

Published this.

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Tamsin Smith 9 months, 3 weeks ago

Created this as a copy of Matrices: Basics 04.

Name	Status	Author	Last Modified
Matrices: Basics 01	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Basics 02	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Basics 03	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Basics 04	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Add & Subtract 01	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Add & Subtract 03	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Add & Subtract 02	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Add & Subtract 04	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Scalar Multiple 01	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Scalar Multiple 02	Needs to be tested	Michael Proudman	07/12/2021 08:24
Matrices: Scalar Multiple 03	Needs to be tested	Michael Proudman	07/12/2021 08:24
Subtraction of Matrices	draft	Tamsin Smith	17/09/2024 13:13
Order of a Matrix	draft	Tamsin Smith	17/09/2024 12:41
Choosing an Element	draft	Tamsin Smith	17/09/2024 12:40
Finding the Transpose	draft	Tamsin Smith	17/09/2024 13:21
Scalar Multiple of a Matrix	draft	Tamsin Smith	17/09/2024 13:12
Addition and Subtraction with Scalar Multiples	draft	Tamsin Smith	17/09/2024 12:46
Addition of Matrices	draft	Tamsin Smith	16/09/2024 12:24

There are 9 other versions that do you not have access to.

Question statement

The Transpose of a Matrix

For each of the given matrices, give the transpose

You will have to define the dimension of the transposed matrix before you enter your answer.

Give any introductory information the student needs.

			Name	Type	Generated Value

n1	integer	1
m1	integer	2
A	matrix	matrix([5,-9])
TA	matrix	matrix([5],[-9])

			Name	Type	Generated Value

n2	integer	4
m2	integer	3
B	matrix	Matrix of size 4×3
TB	matrix	Matrix of size 3×4

			Name	Type	Generated Value

n3	integer	5
m3	integer	2
C	matrix	Matrix of size 5×2
TC	matrix	Matrix of size 2×5

			Name	Type	Generated Value

n4	integer	2
m4	integer	1
D	matrix	matrix([-4],[3])
TD	matrix	matrix([-4,3])

			Name	Type	Generated Value

n5	integer	2
m5	integer	2
EE	matrix	matrix([-4,-8],[8,5])
TE	matrix	matrix([-4,8],[-8,5])

			Name	Type	Generated Value

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..(m3-1) except m3)

JME function reference

Description

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`

← Depends on:

→ Used by:

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
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Part c) Gap-fill
1. Gap Matrix entry
  Add
Part d) Gap-fill
1. Gap Matrix entry
  Add
Part e) 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.

Let:

$A=\var{A}$

Find $A^{T}$

$A^{T}=$ Unnamed gap

Advice

The transposition process results in rows becoming columns and columns becoming rows.

It may help to imagine the matrix being "flipped" about its diagonal.

Using this technique gives us:

$A=\var{A} \;\;\; A^{T}=\var{TA}$

$B=\var{B} \;\;\; B^{T}=\var{TB}$

$C=\var{C} \;\;\; C^{T}=\var{TC}$

$D=\var{D} \;\;\; D^{T}=\var{TD}$

$E=\var{EE} \;\;\; E^{T}=\var{TE}$

Give a worked solution to the whole question.

URL

Text alternative

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
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
Gap-fill
Gap-fill		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet

This question is used in the following exams:

3x3 Matrices by Fraser Buxton in Tamsin's workspace.
Formative Assessment ENG1501 by Zepeng Liu in Zepeng's workspace.
Summative Assessment (40%) - 120 minutes by Zepeng Liu in Zepeng'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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Error

Finding the Transpose

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Tamsin Smith 7 months, 1 week ago

Tamsin Smith 9 months, 3 weeks ago

The Transpose of a Matrix

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Finding the Transpose

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Tamsin Smith 7 months, 1 week ago

Tamsin Smith 9 months, 3 weeks ago

The Transpose of a Matrix

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`