Matrices: Scalar Multiple 03

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, 10 months ago

History

○

Michael Proudman 4 years, 10 months ago

Published this.

○

Michael Proudman 4 years, 10 months ago

Gave some feedback: Needs to be tested

○

Michael Proudman 4 years, 10 months ago

Created this as a copy of Matrices: Scalar Multiple 02.

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

Matrix calculations can often include a combination of operations such as addition, subtraction and scalar multiplication.

Give any introductory information the student needs.

			Name	Type	Generated Value

n1	integer	3
m1	integer	3
A	matrix	Matrix of size 3×3
A2	matrix	Matrix of size 3×3

			Name	Type	Generated Value

n2	integer	4
m2	integer	1
B	matrix	matrix([8],[-9],[0],[1])
B2	matrix	matrix([1],[-4],[0],[1])

			Name	Type	Generated Value

n3	integer	3
m3	integer	1
C	matrix	matrix([2],[8],[3])
C2	matrix	matrix([0],[-4],[5])

			Name	Type	Generated Value

n4	integer	2
m4	integer	2
D	matrix	matrix([-9,4],[-6,4])
D2	matrix	matrix([-6,-7],[-6,-3])

			Name	Type	Generated Value

n5	integer	1
m5	integer	2
EE	matrix	matrix([6,1])
EE2	matrix	matrix([-7,-1])

			Name	Type	Generated Value

k1	integer	3
k2	integer	4
k3	integer	4
k4	integer	-5
k5	integer	9

			Name	Type	Generated Value

ad1	matrix	Matrix of size 3×3
ad1a	matrix	Matrix of size 3×3
ad2	matrix	matrix([4],[-16],[0],[4])
ad2a	matrix	matrix([4],[7],[0],[-3])
ad3	matrix	matrix([8],[32],[12])
ad3a	matrix	matrix([0],[-12],[15])
ad3b	matrix	matrix([8],[44],[-3])
ad4	matrix	matrix([45,-20],[30,-20])
ad4a	matrix	matrix([39,-27],[24,-23])
ad5	matrix	matrix([54,9])
ad5a	matrix	matrix([61,10])

Automatically regenerate variables?

Name

Data type

Value

(a number)

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`

→ Used by:

"Unnamed part" → "Gap 0." - Number of rows

Parts

Gap-fill
1. Gap Gap 0. Matrix entry
  Add
2. Gap Gap 1. Matrix entry
  Add
3. Gap Gap 2. Matrix entry
  Add
4. Gap Gap 3. Matrix entry
  Add
5. Gap Gap 4. Matrix entry
  Add

Gap-fill

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

Carry out the following matrix calculations:

If $A=\var{A}$ and $B=\var{A2}$ then:

$\var{k1} A+B=$ Gap 0.

If $C=\var{B}$ and $D=\var{B2}$ then:

$C-\var{k2}D=$ Gap 1.

If $E=\var{C}$ and $F=\var{C2}$ then:

$\var{k3}E-\var{k1}F=$ Gap 2.

If $G=\var{D}$ and $H=\var{D2}$ then:

$\var{k4}G+H=$ Gap 3.

If $I=\var{EE}$ and $J=\var{EE2}$ then:

$\var{k5}I-J=$ Gap 4.

Advice

We are asked to carry out combinations of matrix operations:

If $A=\var{A}$ and $B=\var{A2}$ then:

$\var{k1} A+B=\var{k1} \var{A}+\var{A2}$

$\var{k1} A+B=\var{ad1}+\var{A2}$

$\var{k1} A+B=\var{ad1a}$

If $C=\var{B}$ and $D=\var{B2}$ then:

$C-\var{k2}D=\var{B}-\var{k2}\var{B2}$

$C-\var{k2}D=\var{B}-\var{ad2}$

$C-\var{k2}D=\var{ad2a}$

If $E=\var{C}$ and $F=\var{C2}$ then:

$\var{k3}E-\var{k1}F=\var{k3}\var{C}-\var{k1}\var{C2}$

$\var{k3}E-\var{k1}F=\var{ad3}-\var{ad3a}$

$\var{k3}E-\var{k1}F=\var{ad3b}$

If $G=\var{D}$ and $H=\var{D2}$ then:

$\var{k4}G+H=\var{k4}\var{D}+\var{D2}$

$\var{k4}G+H=\var{ad4}+\var{D2}$

$\var{k4}G+H=\var{ad4a}$

If $I=\var{EE}$ and $J=\var{EE2}$ then:

$\var{k5}I-J=\var{k5}\var{EE}-\var{EE2}$

$\var{k5}I-J=\var{ad5}-\var{EE2}$

$\var{k5}I-J=\var{ad5a}$

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
Matrix entry
Matrix entry		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet

This question is used in the following exam:

Matrices: Scalar Multiple (Instructional) by Michael Proudman in .Matrix Algebra.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Michael Proudman 4 years, 10 months ago

Michael Proudman 4 years, 10 months ago

Michael Proudman 4 years, 10 months ago

Matrix calculations can often include a combination of operations such as addition, subtraction and scalar multiplication.

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Carry out the following matrix calculations:

We are asked to carry out combinations of matrix operations:

Loading...

Error

Matrices: Scalar Multiple 03

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Michael Proudman 4 years, 10 months ago

Michael Proudman 4 years, 10 months ago

Michael Proudman 4 years, 10 months ago

Matrix calculations can often include a combination of operations such as addition, subtraction and scalar multiplication.

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Carry out the following matrix calculations:

We are asked to carry out combinations of matrix operations:

Generated value: `integer`