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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 Matrix Determinants.

Name	Status	Author	Last Modified
Matrix Determinants	Ready to use	Mark Patterson	19/09/2020 09:10
Determinant of a 2x2 Matrix	draft	Tamsin Smith	17/09/2024 13:15
Determinant of 3x3 Matrix	draft	Tamsin Smith	17/09/2024 13:15

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Question statement

$2 \times 2$ Matrix Determinants

Calculate the determinants of the following matrices.

Give any introductory information the student needs.

			Name	Type	Generated Value

			maA	matrix	matrix([7,7],[9,-4])
			maB	matrix	matrix([7,1],[7,6])

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
matrixrandom(2,2)

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([7,7],[9,-4])

→ Used by:

Advice
"Part a)" - prompt
"Part a)" → "Unnamed gap" - Minimum accepted value
"Part a)" → "Unnamed gap" - Maximum accepted value

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

Calculate the determinant of the matrix:

$\boldsymbol{A} = \simplify{{maA}}$

$\det \boldsymbol{A} =$ Unnamed gap

Advice

To find the determinant of a $2\times2$ matrix, we use the following formula

$\begin{vmatrix} a & b \\ c & d \\ \end{vmatrix} = ad-bc$

Hence, we have:

$\det \boldsymbol{A} = \var{maA[0][0]} \times \var{maA[1][1]} - \var{maA[0][1]} \times \var{maa[1][0]} = \var{det(maA)}$

$\det \boldsymbol{B} = \var{maB[0][0]} \times \var{maB[1][1]} - \var{maB[0][1]} \times \var{maB[1][0]} = \var{det(maB)}$

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Part	Test	Passed?
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Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
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This question is used in the following exams:

2x2 Matrices by Fraser Buxton in Tamsin's workspace.
Formative Assessment ENG1501 by Zepeng Liu in Zepeng's workspace.
ENG1501 - Mock Test - Unlimited Time (full syllabus) by Zepeng Liu in Zepeng's workspace.
ENG1501 Exam - May 2025 by Zepeng Liu in Zepeng's workspace.

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Determinant of a 2x2 Matrix

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Taxonomy: mathcentre

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Checkpoint description

Tamsin Smith 7 months ago

Tamsin Smith 9 months, 2 weeks ago

$2 \times 2$ Matrix Determinants

Error in variable testing condition

Error

Warning

Generated value: `matrix`

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Gap-fill

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Error

Determinant of a 2x2 Matrix

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

2×22 \times 2 Matrix Determinants

Error in variable testing condition

Error

Warning

Generated value: matrix

Parts

Gap-fill

$2 \times 2$ Matrix Determinants

Generated value: `matrix`