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Tamsin Smith 6 months, 1 week ago

Published this.

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Fraser Buxton 8 months, 1 week ago

Created this.

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Question statement

Conformable Matrices for Multiplication

For each of the following pairs of matrices, determine whether they are conformable for multiplication

Give any introductory information the student needs.

			Name	Type	Generated Value

conf1	boolean	true
m1q1	integer	5
n1q1	integer	5
m2q1	integer	5
n2q1	integer	1
A	matrix	Matrix of size 5×5
B	matrix	matrix([7],[3],[9],[3],[3])

			Name	Type	Generated Value

conf2	boolean	false
m1q2	integer	2
n1q2	integer	4
m2q2	integer	3
n2q2	integer	3
C	matrix	matrix([9,2,0,2],[4,3,7,5])
D	matrix	Matrix of size 3×3

			Name	Type	Generated Value

conf3	boolean	true
m1q3	integer	2
n1q3	integer	5
m2q3	integer	5
n2q3	integer	3
E	matrix	Matrix of size 2×5
F	matrix	Matrix of size 5×3

			Name	Type	Generated Value

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(true,false)

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: `boolean`

true

→ Used by:

m2q1

Advice
Variable testing condition
"Part a)" → "Gap 0." - Custom matrix expression
"Part a)" → "Gap 1." - Custom matrix expression

Parts

Part a) Gap-fill
1. Gap Gap 0. Choose one from a list
  Add
2. Gap Gap 1. Choose one from a list
  Add
Part b) Gap-fill
1. Gap Gap 0. Choose one from a list
  Add
2. Gap Gap 1. Choose one from a list
  Add
Part c) Gap-fill
1. Gap Gap 0. Choose one from a list
  Add
2. Gap Gap 1. Choose one from a list
  Add

Gap-fill

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

Consider:

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

The product $\boldsymbol{AB}$ Gap 0., and therefore the matrices are Gap 1..

Advice

We are asked to determine whether two matrices are conformable for multiplication

To do this, we must determine the dimensions of each matrix

$\boldsymbol{A}$ has $\var{n1q1}$ columns and $\boldsymbol{B}$ has $\var{m2q1}$ rows

Since both of these values are $\var{n1q1}$ , the product $\boldsymbol{AB}$ is defined and the matrices are conformable

Since $\var{n1q1}$ is not equal to $\var{m2q1}$ , the product $\boldsymbol{AB}$ is not defined and the matrices are not conformable

$\boldsymbol{C}$ has $\var{n1q2}$ columns and $\boldsymbol{D}$ has $\var{m2q2}$ rows

Since both of these values are $\var{n1q2}$ , the product $\boldsymbol{CD}$ is defined and the matrices are conformable

Since $\var{n1q2}$ is not equal to $\var{m2q2}$ , the product $\boldsymbol{CD}$ is not defined and the matrices are not conformable

$\boldsymbol{E}$ has $\var{n1q3}$ columns and $\boldsymbol{F}$ has $\var{m2q3}$ rows

Since both of these values are $\var{n1q3}$ , the product $\boldsymbol{EF}$ is defined and the matrices are conformable

Since $\var{n1q3}$ is not equal to $\var{m2q3}$ , the product $\boldsymbol{AB}$ is not defined and the matrices are not conformable

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
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
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
Choose one from a list		Hasn't run yet
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
Choose one from a list		Hasn't run yet

This question is used in the following exam:

Matrix Multiplication by Fraser Buxton in Tamsin's workspace.

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Error

Conformable for Multiplication

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Tamsin Smith 6 months, 1 week ago

Fraser Buxton 8 months, 1 week ago

Conformable Matrices for Multiplication

Error in variable testing condition

Error

Warning

Generated value: `boolean`

Parts

Gap-fill

Loading...

Error

Conformable for Multiplication

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Tamsin Smith 6 months, 1 week ago

Fraser Buxton 8 months, 1 week ago

Conformable Matrices for Multiplication

Error in variable testing condition

Error

Warning

Generated value: boolean

Parts

Gap-fill

Generated value: `boolean`