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Tamsin Smith 7 months ago

Published this.

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Tamsin Smith 9 months, 2 weeks ago

Created this as a copy of Matrices: Scalar Multiple 03.

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

Addition and Subraction with Scalar Multiples

For each of the given matrices, complete the calculation using matrix 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([-3],[6],[1],[-3])
B2	matrix	matrix([-9],[2],[9],[-9])

			Name	Type	Generated Value

n3	integer	2
m3	integer	1
C	matrix	matrix([6],[0])
C2	matrix	matrix([-3],[-4])

			Name	Type	Generated Value

n4	integer	1
m4	integer	3
D	matrix	matrix([2,-4,1])
D2	matrix	matrix([8,-8,-5])

			Name	Type	Generated Value

n5	integer	2
m5	integer	4
EE	matrix	matrix([9,2,2,-7],[9,-7,-5,3])
EE2	matrix	Matrix of size 2×4

			Name	Type	Generated Value

k1	integer	5
k2	integer	3
k3	integer	2
k4	integer	-8
k5	integer	3

			Name	Type	Generated Value

ad1	matrix	Matrix of size 3×3
ad1a	matrix	Matrix of size 3×3
ad2	matrix	matrix([-27],[6],[27],[-27])
ad2a	matrix	matrix([24],[0],[-26],[24])
ad3	matrix	matrix([12],[0])
ad3a	matrix	matrix([-15],[-20])
ad3b	matrix	matrix([27],[20])
ad4	matrix	matrix([-16,32,-8])
ad4a	matrix	matrix([-8,24,-13])
ad5	matrix	Matrix of size 2×4
ad5a	matrix	Matrix of size 2×4

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Description

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Generated value: `integer`

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Parts

Part a) Gap-fill
1. Gap Matrix entry
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Part b) Gap-fill
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Part c) Gap-fill
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Part d) Gap-fill
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Gap-fill

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

Let:

$A=\var{A}, B=\var{A2}$

Calculate $\var{k1}A + B$ :

$\var{k1} A+B=$ Unnamed gap

Advice

We are asked to carry out combinations of matrix operations. We combine the rules that we have used previously to determine our answer:

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

$\begin{aligned} \var{k1} A+B &= \var{k1} \var{A}+\var{A2} \\ &=\var{ad1}+\var{A2} \\ &= \var{ad1a} \end{aligned}$

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

$\begin{aligned} C - \var{k2} D &= \var{B} - \var{k2} \var{B2} \\ &=\var{B}-\var{ad2} \\ &= \var{ad2a} \end{aligned}$

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

$\begin{aligned} \var{k3} E - \var{k1}F &= \var{k3} \var{C} - \var{k1} \var{C2} \\ &=\var{ad3} - \var{ad3a} \\ &= \var{ad3b} \end{aligned}$

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

$\begin{aligned} \var{k4} G- H &= \var{k4} \var{D}+\var{D2} \\ &=\var{ad4}+\var{D2} \\ &= \var{ad4a} \end{aligned}$

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

$\begin{aligned} \var{k5} I-J &= \var{k5} \var{EE}-\var{EE2} \\ &=\var{ad5}-\var{EE2} \\ &= \var{ad5a} \end{aligned}$

Give a worked solution to the whole question.

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This question is used in the following exam:

Scalar Multiplication by Fraser Buxton in Tamsin's workspace.

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Addition and Subtraction with Scalar Multiples

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Tamsin Smith 7 months ago

Tamsin Smith 9 months, 2 weeks ago

Addition and Subraction with Scalar Multiples

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Addition and Subtraction with Scalar Multiples

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Tamsin Smith 7 months ago

Tamsin Smith 9 months, 2 weeks ago

Addition and Subraction with Scalar Multiples

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`