E1 Q1: Gaussian Elimination

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Stephen Flood

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Stephen Flood 7 years, 2 months ago

Gave some feedback: Ready to use

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Stephen Flood 7 years, 2 months ago

Created this as a copy of MA4100 4.4 Gaussian Elimination.

Name	Status	Author	Last Modified
MA4100 4.4 Gaussian Elimination	Ready to use	James Denholm-Price	01/06/2016 11:45
Habiba's copy of MA4100 4.4 Gaussian Elimination	Ready to use	Habiba Gora	01/06/2016 09:47
delete syntax checkinbg bryan's copy of MA4100 4.4 Gaussian Elimination	Ready to use	bryan pearce	24/09/2016 21:14
E1 Q1: Gaussian Elimination	Ready to use	Thomas Winyard	05/01/2022 22:01
Gaussian Elimination (2)	draft	John Sheekey	09/02/2018 16:50
John's copy of MA4100 4.4 Gaussian Elimination	draft	John Sheekey	09/02/2018 16:46
Gaussian Elimination	draft	John Sheekey	09/02/2018 16:49
Gaussian Elimination	draft	Andrew Iskauskas	26/06/2018 20:29
Praneetha's copy of Gaussian Elimination	draft	Praneetha Singh	28/06/2018 05:19
James's copy of MA4100 4.4 Gaussian Elimination	draft	James Gaunt	29/03/2019 16:50
Gaussian Elimination	draft	Xiaodan Leng	11/07/2019 00:57
Gaussian Elimination	draft	Xiaodan Leng	11/07/2019 06:20

There are 19 other versions that do you not have access to.

Question statement

Solve the following system of equations using Gaussian Elimination (reducing the matrix to REF).

$\begin{eqnarray} &x&+\;&\var{b}y&+\;\var{b*a-b}z&=&\var{c3}\\ &\var{a}x&+\;&\var{a*b-1}y&+\;\var{a^2*b-a-a*b}z&=&\var{c2}\\&\var{a*c}x&+\;&\var{c*b}y&+\;z&=&\var{c1} \end{eqnarray}$

Part a) Introduce zeros in the first column using the first row.

Part b) Introduce zeros in the second coumn below the second entry in the second row using the second row, then solve for $z$ using the last row of the reduced matrix.

Part c) Solve for $y$ and $x$ using the second and first rows of the reduced matrix.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	4
b	integer	2
c	integer	3
c1	integer	4
c2	integer	2
c3	integer	3
y	number	-582
x	number	279
z	number	148

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Can an exam override the value of this variable?

Generated value: `integer`

This variable doesn't seem to be used anywhere.

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Gap-fill

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

Write the augmented matrix corresponding to this system of equations

$\left( \begin{matrix} \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$	Gap 0.	Gap 1.	Gap 2.	$\left\| \begin{matrix} \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$	Gap 3.	$\left) \begin{matrix} \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$
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	Gap 8.	Gap 9.	Gap 10.		Gap 11.

Advice

Look at the revealed answers for this question. All the information needed is there.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

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Stephen Flood 7 years, 2 months ago

Stephen Flood 7 years, 2 months ago

Error in variable testing condition

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Generated value: `integer`

Parts

Gap-fill

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E1 Q1: Gaussian Elimination

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Stephen Flood 7 years, 2 months ago

Stephen Flood 7 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`