Matrices: Basics 01

Error

There was an error loading the page.

Contributors

Michael Proudman

Feedback

From users who are members of .Matrix Algebra :

Michael Proudman

said

Needs to be tested

4 years, 9 months ago

History

○

Michael Proudman 4 years, 9 months ago

Gave some feedback: Needs to be tested

○

Michael Proudman 4 years, 9 months ago

Published this.

○

Michael Proudman 4 years, 9 months ago

Created this.

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 General Matrix

A general $m \times n$ matrix $A$ has $m$ rows and $n$ columns.
The entries in the matrix $A$ are called the elements of $A$ .
In matrix $A$ the element in row $i$ and column $j$ is denoted by $a_{ij}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

n1	integer	1
m1	integer	1
A	matrix	matrix([8])

			Name	Type	Generated Value

n2	integer	3
m2	integer	2
B	matrix	matrix([1,-4],[6,2],[-6,0])

			Name	Type	Generated Value

n3	integer	4
m3	integer	2
C	matrix	Matrix of size 4×2

			Name	Type	Generated Value

n4	integer	3
m4	integer	1
D	matrix	matrix([9],[-6],[-7])

			Name	Type	Generated Value

n5	integer	2
m5	integer	3
EE	matrix	matrix([-3,-6,-6],[3,-3,2])

			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:

Advice
"Unnamed part" → "Gap 0." - Minimum accepted value
"Unnamed part" → "Gap 0." - Maximum accepted value

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add
5. Gap Gap 4. Number entry
  Add
6. Gap Gap 5. Number entry
  Add
7. Gap Gap 6. Number entry
  Add
8. Gap Gap 7. Number entry
  Add
9. Gap Gap 8. Number entry
  Add
10. Gap Gap 9. Number entry
  Add

Gap-fill

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

Classify the following matrices:

$A=\var{A}$

$A$ is a Gap 0. $\times$ Gap 1. matrix.

$B=\var{B}$

$B$ is a Gap 2. $\times$ Gap 3. matrix.

$C=\var{C}$

$C$ is a Gap 4. $\times$ Gap 5. matrix.

$D=\var{D}$

$D$ is a Gap 6. $\times$ Gap 7. matrix.

$E=\var{EE}$

$E$ is a Gap 8. $\times$ Gap 9. matrix.

Advice

We are presented with random matrices and asked to "classify" them.

This simply means "give their dimensions" - how many rows and columns do they have?

In mathematical language you need to know that:

A general $m \times n$ matrix $A$ has $m$ rows and $n$ columns.

In simpler terms, the size is ALWAYS given as:

$\Large ROWS \times COLUMNS$

Once you remember this, these are very straightforward.

$A=\var{A}$ $A$ has $\var{n1}$ rows and $\var{m1}$ columns. So $A$ has dimensions $\var{n1} \times \var{m1}$

$B=\var{B}$ $B$ has $\var{n2}$ rows and $\var{m2}$ columns. So $B$ has dimensions $\var{n2} \times \var{m2}$

$C=\var{C}$ $C$ has $\var{n3}$ rows and $\var{m3}$ columns. So $C$ has dimensions $\var{n3} \times \var{m3}$

$D=\var{D}$ $D$ has $\var{n4}$ rows and $\var{m4}$ columns. So $D$ has dimensions $\var{n4} \times \var{m4}$

$E=\var{EE}$ $E$ has $\var{n5}$ rows and $\var{m5}$ columns. So $E$ has dimensions $\var{n5} \times \var{m5}$

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
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		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:

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Michael Proudman 4 years, 9 months ago

Michael Proudman 4 years, 9 months ago

Michael Proudman 4 years, 9 months ago

The General Matrix

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Classify the following matrices:

We are presented with random matrices and asked to "classify" them.

Loading...

Error

Matrices: Basics 01

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Michael Proudman 4 years, 9 months ago

Michael Proudman 4 years, 9 months ago

Michael Proudman 4 years, 9 months ago

The General Matrix

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Classify the following matrices:

We are presented with random matrices and asked to "classify" them.

Generated value: `integer`