Adding matrices of different sizes

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From users who are members of Linear Algebra 1st year :

andrew tonks	said	Ready to use	4 years, 7 months ago
Julia Goedecke	said	Needs to be tested	4 years, 8 months ago

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andrew tonks 4 years, 7 months ago

Gave some feedback: Ready to use

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Julia Goedecke 4 years, 8 months ago

Published this.

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Julia Goedecke 4 years, 8 months ago

Gave some feedback: Needs to be tested

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Julia Goedecke 4 years, 8 months ago

Created this as a copy of Adding 2x2 matrices.

Name	Status	Author	Last Modified
Adding 2x2 matrices	Ready to use	Julia Goedecke	31/08/2021 10:06
Adding matrices of different sizes	Ready to use	Julia Goedecke	25/08/2021 12:57
Adding vectors	Ready to use	Julia Goedecke	25/08/2021 12:57
Adding and subtracting vectors	Ready to use	Julia Goedecke	25/08/2021 12:57
Calculating with vectors	Ready to use	Julia Goedecke	25/08/2021 12:57
Calculating with vectors - fixed size	Ready to use	Julia Goedecke	25/08/2021 12:57

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

matrixC	matrix	matrix([1,1,3],[-5,1,-4])
rows	integer	2
columns	integer	3
matrixA	matrix	matrix([2,-2,-1],[-4,3,-3])
matrixB	matrix	matrix([-1,3,4],[-1,-2,-1])
matrixAentryproduct	boolean	false
matrixBentryproduct	boolean	false
entries	integer	6

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
matrixA+matrixB

JME function reference

Description

Matrix C, the sum of matrices A and B.

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `matrix`

matrix([1,1,3],[-5,1,-4])

← Depends on:

matrixA
matrixB

→ Used by:

Advice
"Unnamed part" → "Gap 0" - Correct answer

Parts

Gap-fill
1. Gap Gap 0 Matrix entry
  Add

Gap-fill

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

Calculate $\var{matrixA} + \var{matrixB}=$ Gap 0.

Advice

We can add any two matrices which have the same size. To add the matrices, we add each entry separately: entry 1,1 of the first matrix plus entry 1,1 of the second matrix goes into entry 1,1 of the sum, and so on.

$\var{matrixA}+\var{matrixB}= \begin{pmatrix} \simplify[]{{matrixA[0][0]}+{matrixB[0][0]}}&\simplify[]{{matrixA[0][1]}+{matrixB[0][1]}} \\\simplify[]{{matrixA[1][0]}+{matrixB[1][0]}} & \simplify[]{{matrixA[1][1]}+{matrixB[1][1]}}\\\simplify[]{{matrixA[2][0]}+{matrixB[2][0]}} & \simplify[]{{matrixA[2][1]}+{matrixB[2][1]}}\end{pmatrix}=\var{matrixC}$

$\var{matrixA}+\var{matrixB}= \begin{pmatrix} \simplify[]{{matrixA[0][0]}+{matrixB[0][0]}}&\simplify[]{{matrixA[0][1]}+{matrixB[0][1]}} &\simplify[]{{matrixA[0][2]}+{matrixB[0][2]}} &\simplify[]{{matrixA[0][3]}+{matrixB[0][3]}}\\\simplify[]{{matrixA[1][0]}+{matrixB[1][0]}} & \simplify[]{{matrixA[1][1]}+{matrixB[1][1]}}&\simplify[]{{matrixA[1][2]}+{matrixB[1][2]}} &\simplify[]{{matrixA[1][3]}+{matrixB[1][3]}}\\\simplify[]{{matrixA[2][0]}+{matrixB[2][0]}} & \simplify[]{{matrixA[2][1]}+{matrixB[2][1]}}&\simplify[]{{matrixA[2][2]}+{matrixB[2][2]}} &\simplify[]{{matrixA[2][3]}+{matrixB[2][3]}}\end{pmatrix}=\var{matrixC}$

$\var{matrixA}+\var{matrixB}= \begin{pmatrix} \simplify[]{{matrixA[0][0]}+{matrixB[0][0]}}&\simplify[]{{matrixA[0][1]}+{matrixB[0][1]}} \\ \simplify[]{{matrixA[1][0]}+{matrixB[1][0]}} & \simplify[]{{matrixA[1][1]}+{matrixB[1][1]}}\\\simplify[]{{matrixA[2][0]}+{matrixB[2][0]}} & \simplify[]{{matrixA[2][1]}+{matrixB[2][1]}}\\\simplify[]{{matrixA[3][0]}+{matrixB[3][0]}} & \simplify[]{{matrixA[3][1]}+{matrixB[3][1]}}\end{pmatrix}=\var{matrixC}$

$\var{matrixA}+\var{matrixB}= \begin{pmatrix} \simplify[]{{matrixA[0][0]}+{matrixB[0][0]}}&\simplify[]{{matrixA[0][1]}+{matrixB[0][1]}} &\simplify[]{{matrixA[0][2]}+{matrixB[0][2]}} \\\simplify[]{{matrixA[1][0]}+{matrixB[1][0]}} & \simplify[]{{matrixA[1][1]}+{matrixB[1][1]}}&\simplify[]{{matrixA[1][2]}+{matrixB[1][2]}} \\\simplify[]{{matrixA[2][0]}+{matrixB[2][0]}} & \simplify[]{{matrixA[2][1]}+{matrixB[2][1]}}&\simplify[]{{matrixA[2][2]}+{matrixB[2][2]}} \\\simplify[]{{matrixA[3][0]}+{matrixB[3][0]}} & \simplify[]{{matrixA[3][1]}+{matrixB[3][1]}}&\simplify[]{{matrixA[3][2]}+{matrixB[3][2]}} \end{pmatrix}=\var{matrixC}$

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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 exam:

EGD125_Quiz2 by Matt Falk in Matt's workspace.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

andrew tonks 4 years, 7 months ago

Julia Goedecke 4 years, 8 months ago

Julia Goedecke 4 years, 8 months ago

Julia Goedecke 4 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `matrix`

Parts

Gap-fill

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Error

Adding matrices of different sizes

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

andrew tonks 4 years, 7 months ago

Julia Goedecke 4 years, 8 months ago

Julia Goedecke 4 years, 8 months ago

Julia Goedecke 4 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: matrix

Parts

Gap-fill

Generated value: `matrix`