Invert a 3 x 3 matrix

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Contributors

Timothy Gould

History

○

Peter Johnston was given access to the Invert a 3 x 3 matrix 7 years, 10 months ago

○

Owen Jepps was given access to the Invert a 3 x 3 matrix 7 years, 10 months ago

○

Timothy Gould 7 years, 10 months ago

Created this as a copy of Solve a 3 x 3 matrix system.

Name	Status	Author	Last Modified
Solve a system of three simultaneous linear equations	Ready to use	Frank Doheny	24/11/2017 07:45
Solve a system of three simultaneous linear equations	draft	Timothy Gould	05/05/2017 04:35
Solve a 3 x 3 matrix system	draft	Timothy Gould	14/05/2017 07:39
Invert a 3 x 3 matrix	draft	Timothy Gould	14/05/2017 07:41
Andrew's copy of Solve a system of three simultaneous linear equations	draft	Andrew Dunbar	30/06/2017 22:04
Solve a system of three simultaneous linear equations	draft	Xiaodan Leng	11/07/2019 01:01
Solve a system of three simultaneous linear equations	draft	Thomas Waters	11/09/2019 21:44

There are 6 other versions that do you not have access to.

Question statement

Invert the following matrix

$\var{M}$

Give any introductory information the student needs.

			Name	Type	Generated Value

c1	integer	5
g1	integer	1
h1	integer	2
i1	integer	6
f1	integer	-2
MINV	matrix	Matrix of size 3×3
M	matrix	Matrix of size 3×3
MR1	matrix	Matrix of size 3×6
MR2	matrix	Matrix of size 3×6

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

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: `integer`

→ Used by:

M
MINV
MR1
MR2
i1

Parts

Gap-fill
1. Gap Matrix entry
  Add

Gap-fill

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

Input the inverse matrix

Unnamed gap

Advice

The first step of augmented matrix reduction gives

$\var{MR1}$

Note - the | is implied after the third entry on each row.

Since there are two leading 0s in the second row, we then do a simple swap of row 2 and 3.

$\var{MR2}$

Give a worked solution to the whole question.

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet

This question is used in the following exams:

Systems of equations / matrix equations / matrix inverse by Timothy Gould in Timothy's workspace.
Practice problems by Timothy Gould in 2201NSC.
Practice problems 2 by Timothy Gould in 2201NSC.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Peter Johnston was given access to the Invert a 3 x 3 matrix 7 years, 10 months ago

Owen Jepps was given access to the Invert a 3 x 3 matrix 7 years, 10 months ago

Timothy Gould 7 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Invert a 3 x 3 matrix

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Peter Johnston was given access to the Invert a 3 x 3 matrix 7 years, 10 months ago

Owen Jepps was given access to the Invert a 3 x 3 matrix 7 years, 10 months ago

Timothy Gould 7 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`