Can you multiply these matrices? (same as WBQ 1.28)

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Julia Goedecke

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Julia Goedecke

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Ready to use

4 years, 6 months ago

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Julia Goedecke 4 years, 6 months ago

Gave some feedback: Ready to use

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Julia Goedecke 4 years, 6 months ago

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Name	Status	Author	Last Modified
Can you multiply these matrices? (same as WBQ 1.28)	Ready to use	Julia Goedecke	25/08/2021 12:57
Can you multiply matrices of these sizes?	Ready to use	Julia Goedecke	25/08/2021 12:57
Matrix products and transposes (same as WBQ 1.31)	Ready to use	Julia Goedecke	25/08/2021 12:57
Matrix products: any combination from WBQ 1.28/1.31	Ready to use	Julia Goedecke	25/08/2021 12:57
Matrix multiplication	Ready to use	Julia Goedecke	25/08/2021 12:57
copy of Matrix products and transposes (same as WBQ 1.31)	Ready to use	Julia Goedecke	25/08/2021 12:57
Matrix multiplication	Ready to use	Julia Goedecke	25/04/2022 09:56

There are 34 other versions that do you not have access to.

Question statement

Let $A=\var{A}$ , $B=\var{B}$ , $C=\var{C}$ , $D=\var{D}$ , $E=\var{F}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

A	matrix	matrix([3,0],[-1,2],[1,1])
B	matrix	matrix([4,-1],[0,2])
C	matrix	matrix([1,4,2],[3,1,5])
D	matrix	Matrix of size 3×3
F	matrix	Matrix of size 3×3

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
matrix([3,0],[-1,2],[1,1])

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: `matrix`

matrix([3,0],[-1,2],[1,1])

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Statement

Parts

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1. Gap AE Match text pattern
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2. Gap EA Match text pattern
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3. Gap BE Match text pattern
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4. Gap CE Match text pattern
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5. Gap DE Match text pattern
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Ask the student a question, and give any hints about how they should answer this part.

Determine whether the product exists. If the product exists, then enter the size of the result matrix as mxn, using the correct numbers instead of m and n. If the product does not exist, enter NA.

$AE$ : AE

$EA$ : EA

$BE$ : BE

$CE$ : CE

$DE$ : DE

$ED$ : ED

Advice

We can multiply an $m\times k$ matrix and a $k\times n$ matrix, i.e. the number of columns of the first matrix and the number of rows of the second matrix have to match. The resulting product has size $m\times n$ .

$A$ has size $3\times 2$ , $E$ has size $3\times 3$ , so $AE$ does not exist. But $EA$ does exist and has size $3\times 2$ .

$B$ has size $2\times 2$ , so $BE$ does not exist.

$C$ has size $2\times 3$ , so $CE$ exists and has size $2\times 3$ .

$D$ and $E$ both have size $3\times 3$ , so both $DE$ and $ED$ exist and have size $3\times 3$ .

Give a worked solution to the whole question.

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This question is used in the following exam:

Matrix Mult Intro by Julia Goedecke in Linear Algebra 1st year.

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Can you multiply these matrices? (same as WBQ 1.28)

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Julia Goedecke 4 years, 6 months ago

Julia Goedecke 4 years, 6 months ago

Julia Goedecke 4 years, 6 months ago

Julia Goedecke 4 years, 6 months ago

Error in variable testing condition

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Warning

Generated value: `matrix`

Parts

Gap-fill

Loading...

Error

Can you multiply these matrices? (same as WBQ 1.28)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Julia Goedecke 4 years, 6 months ago

Julia Goedecke 4 years, 6 months ago

Julia Goedecke 4 years, 6 months ago

Julia Goedecke 4 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: matrix

Parts

Gap-fill

Generated value: `matrix`