Vector matrix multiplication

Error

There was an error loading the page.

Contributors

Marie Nicholson

History

○

Marie Nicholson 7 years, 1 month ago

Created this as a copy of Question 6 MATH6005 Assessment 1.

Name	Status	Author	Last Modified
Matrices: Manipulation	Ready to use	Newcastle University Mathematics and Statistics	01/12/2020 14:33
Simon's copy of Matrices: Manipulation,	draft	Simon Vaughan	12/01/2017 15:22
Alex's copy of Simon's copy of Matrices: Manipulation,	draft	Alex Van den Hof	27/01/2017 10:53
Ch10 Q2	draft	Alex Van den Hof	22/03/2017 15:27
Ex 3 Matrix Multiplication 2	draft	Violeta CIT	11/09/2017 10:48
Question 6 MATH6005 Assessment 1	draft	Violeta CIT	04/10/2017 17:14
Vector matrix multiplication	draft	Marie Nicholson	04/02/2021 15:37
Ex 3 Matrix Multiplication 2	Ready to use	Violeta CIT	16/09/2018 11:10
Louise's copy of Ex 3 Matrix Multiplication 2	draft	Louise Lynch	26/01/2022 19:48
Alison's copy of Ex 3 Matrix Multiplication 2	draft	Alison Loddick	29/01/2019 08:44
Matrix multiplication	draft	Simon Thomas	07/02/2019 10:48
Blathnaid's copy of Matrix multiplication	draft	Blathnaid Sheridan	04/03/2019 14:21
Simon's copy of Matrix multiplication	draft	Simon Thomas	01/04/2019 15:18
John's copy of Matrix multiplication	draft	John Steele	13/05/2019 03:59
Maria's copy of John's copy of Matrix multiplication	draft	Maria Aneiros	23/05/2019 06:31
Matrix Multiplication 2	draft	Xiaodan Leng	10/07/2019 23:32
Anthony's copy of Matrix multiplication	draft	Anthony Brown	17/08/2019 10:39

There are 26 other versions that do you not have access to.

Question statement

Answer the following questions on matrices.

Give any introductory information the student needs.

			Name	Type	Generated Value

ba21	integer	1
a21	integer	1
a22	integer	-2
a23	integer	2
b23	integer	1
b22	integer	-2
b21	integer	0
ba22	integer	7
w3	integer	-4
w2	integer	2
w1	integer	5
ba11	integer	0
a11	integer	3
ba13	integer	0
p1	integer	3
q1	integer	9
q	integer	3
q3	integer	11
q2	integer	-8
ab23	integer	-3
ab22	integer	10
ab21	integer	3
s3	number	-0.5
s2	number	0.5
s1	number	0.5
a12	integer	1
s7	number	-0.5
s6	number	-0.5
s5	number	0.5
s4	number	-0.5
b12	integer	0
b13	integer	-1
b11	integer	1
c13	integer	1
c12	integer	2
c11	integer	2
a33	integer	2
a32	integer	3
a31	integer	3
ba32	integer	-5
ba33	integer	8
a13	integer	2
ba31	integer	6
s10	number	-0.5
s9	number	-0.5
b32	integer	3
b31	integer	1
v1	integer	1
v2	integer	2
v3	integer	-1
mae	matrix	matrix([0,-2,0,9])
mad	matrix	Matrix of size 4×3
mag	matrix	Matrix of size 4×4
mah	matrix	Matrix of size 3×3
ba12	integer	-2
b33	integer	0
p2	integer	-5
p3	integer	7
ba23	integer	-2
ab11	integer	5
ab31	integer	5
ab32	integer	0
ab33	integer	0
ab12	integer	4
m	integer	3
s8	number	-0.5
n	integer	4
mac	matrix	Matrix of size 3×4
p	integer	4
s	integer	4
r	integer	1
u	integer	4
w	integer	4
v	list	Nested 10×2 list
y	integer	3
x	integer	3
z	integer	-1
ab13	integer	-2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
b21*a11+b22*a21+b23*a31

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: `integer`

← Depends on:

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add
5. Gap Gap 4. Number entry
  Add
6. Gap Gap 5. Number entry
  Add
7. Gap Gap 6. Number entry
  Add
8. Gap Gap 7. Number entry
  Add
9. Gap Gap 8. Number entry
  Add
10. Gap Gap 9. Number entry
  Add
11. Gap Gap 10. Number entry
  Add
12. Gap Gap 11. Number entry
  Add
13. Gap Gap 12. Number entry
  Add
14. Gap Gap 13. Number entry
  Add
15. Gap Gap 14. Number entry
  Add
16. Gap Gap 15. Number entry
  Add
17. Gap Gap 16. Number entry
  Add
18. Gap Gap 17. Number entry
  Add
19. Gap Gap 18. Number entry
  Add
20. Gap Gap 19. Number entry
  Add
21. Gap Gap 20. Number entry
  Add
22. Gap Gap 21. Number entry
  Add
23. Gap Gap 22. Number entry
  Add
24. Gap Gap 23. Number entry
  Add
Part b) Gap-fill
1. Gap Match choices with answers
  Add

Gap-fill

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

Let

$A = \left(\begin{array}{rrr} \var{a11} & \var{a12} & \var{a13}\\ \var{a21} & \var{a22} & \var{a23}\\ \var{a31} & \var{a32} & \var{a33}\\ \end{array}\right),\;\;\;\; B= \left(\begin{array}{rrr} \var{b11} & \var{b12} & \var{b13}\\ \var{b21} & \var{b22} & \var{b23}\\ \var{b31} & \var{b32} & \var{b33}\\ \end{array}\right),\;\;\;\; v= \left(\begin{array}{r} \var{v1}\\ \var{v2} \\ \var{v3} \end{array}\right),\;\;\;\; w= \left(\begin{array}{r} \var{w1}\\ \var{w2} \\ \var{w3} \end{array}\right)$

Find the following products:

$Av=\left( \begin{matrix} \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$	Gap 0.	$\left) \begin{matrix} \phantom{.} \\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$
	Gap 1.
	Gap 2.
$Bw=\left( \begin{matrix} \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$	Gap 3.	$\left) \begin{matrix} \phantom{.} \\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$
	Gap 4.
	Gap 5.

$BA=\left( \begin{matrix} \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$	Gap 6.	Gap 7.	Gap 8.	$\left) \begin{matrix} \phantom{.} \\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$
	Gap 9.	Gap 10.	Gap 11.
	Gap 12.	Gap 13.	Gap 14.

$AB=\left( \begin{matrix} \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$	Gap 15.	Gap 16.	Gap 17.	$\left) \begin{matrix} \phantom{.} \\ \phantom{.}\\ \phantom{.}\\ \phantom{.}\\ \end{matrix} \right.$
	Gap 18.	Gap 19.	Gap 20.
	Gap 21.	Gap 22.	Gap 23.

Advice

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
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Match choices with answers
Match choices with answers		Hasn't run yet

This question is used in the following exam:

Matrix algebra (Math6004) by Marie Nicholson in Marie's linear algebra workspace.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Marie Nicholson 7 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Vector matrix multiplication

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Marie Nicholson 7 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`