Matrix addition if possible (same as WBQ 1.20)

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Julia Goedecke

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From users who are members of Linear Algebra 1st year :

Tatiana Tyukina	said	Ready to use	4 years, 7 months ago
Julia Goedecke	said	Needs to be tested	4 years, 7 months ago

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Tatiana Tyukina 4 years, 7 months ago

Gave some feedback: Ready to use

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Julia Goedecke 4 years, 7 months ago

Gave some feedback: Needs to be tested

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Julia Goedecke 4 years, 7 months ago

Published this.

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Julia Goedecke 4 years, 7 months ago

Created this.

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Question statement

If it is possible, add the following matrices.

You will be able to decide if you can add them or not in the first part, and then add the possible ones in the second part. The first part will then be locked.

This is the same question as WB Q 1.20: it is not randomised. There are separate randomised questions on deciding whether you can add two matrices, and practicing matrix addition.

Give any introductory information the student needs.

			Name	Type	Generated Value

A	matrix	matrix([3,1],[2,4])
B	matrix	matrix([2,1],[9,3])
C	matrix	matrix([1,2],[8,2])
D	matrix	Matrix of size 3×3
F	matrix	matrix([1,2,9])
G	matrix	matrix([2,3,2],[9,8,1])
M	matrix	Matrix of size 3×3
N	matrix	Matrix of size 3×3
lambda	integer	4
mu	integer	2

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Name

Data type

Value

xxxxxxxxxx
 
matrix([3,1],[2,4])

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `matrix`

matrix([3,1],[2,4])

→ Used by:

Advice
"Can the matrices be added?" - prompt
"Add the matrices which can be added" - prompt
"Add the matrices which can be added" → "Gap 0." - Correct answer

Parts

Explore mode options

Can the matrices be added? Gap-fill
Add the matrices which can be added Gap-fill
1. Gap Gap 0. Matrix entry
  Add
2. Gap Gap 1. Matrix entry
  Add

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Objectives

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Advice

We can add matrices of the same size. That means they have to have the same number of rows and the same number of columns.

$\var{A}+\var{B}$ : both have size $2\times 2$ , so we can add them. The sum is $\var{A+B}$ .

$\var{C}+\var{D}$ : the first has size $2\times 2$ , the second has size $3\times 3$ . So as they don't have the same size, we cannot add these two.

$\var{F}+\var{G}$ : the first has size $1\times 3$ , the second has size $2\times 3$ . So as they don't have the same number of rows, we cannot add these two.

$\simplify[]{{lambda}{M}+{mu}{N}}$ : this is actually a linear combination, it includes scalar multiplication. Both matrices have size $3\times 3$ , which does not change when we multiply them by the given scalar. So we can calculate this linear combination. The answer is $\var{lambda*M+mu*N}$ .

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
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Matrix entry
Matrix entry		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet

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Matrix addition if possible (same as WBQ 1.20)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

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Checkpoint description

Tatiana Tyukina 4 years, 7 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: `matrix`

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Error

Matrix addition if possible (same as WBQ 1.20)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Tatiana Tyukina 4 years, 7 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: matrix

Parts

Objectives

Penalties

Generated value: `matrix`