Trace of a matrix (same as WBQ 1.21)

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Julia Goedecke

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Tatiana Tyukina	said	Ready to use	4 years, 7 months ago
Julia Goedecke	said	Needs to be tested	4 years, 7 months ago

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Tatiana Tyukina 4 years, 7 months ago

Gave some feedback: Ready to use

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Julia Goedecke 4 years, 7 months ago

Published this.

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Julia Goedecke 4 years, 7 months ago

Gave some feedback: Needs to be tested

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Julia Goedecke 4 years, 7 months ago

Created this.

Name	Status	Author	Last Modified
Trace of a matrix (same as WBQ 1.21)	Ready to use	Julia Goedecke	25/08/2021 12:57
Trace of a matrix (WBQ 1.21 randomized)	Ready to use	Julia Goedecke	25/08/2021 12:57

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Question statement

Calculate the trace of the following matrices. (These are the same as in WB Question 1.21: you will not get different ones when you select "Try another question like this one". There is another question where you can find the trace of a random matrix. See link in Workbook.)

Give any introductory information the student needs.

			Name	Type	Generated Value

A	matrix	matrix([3,1],[2,4])
B	matrix	matrix([2,1],[9,3])
C	matrix	Matrix of size 3×3
D	matrix	Matrix of size 4×4
trA	number	7
trB	number	5
trC	number	19
trD	number	35

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xxxxxxxxxx
 
matrix([3,1],[2,4])

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Description

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Generated value: `matrix`

matrix([3,1],[2,4])

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$\mathrm{tr}\var{A}=$ Unnamed gap

Advice

The trace of a square matrix is the sum of the diagonal elements.

a) $\mathrm{tr}\var{A}=\var{A[0][0]}+\var{A[1][1]}=\var{trA}$ .

b) $\mathrm{tr}\var{B}=\var{B[0][0]}+\var{B[1][1]}=\var{trB}$ .

c) $\mathrm{tr}\var{C}=\var{C[0][0]}+\var{C[1][1]}+\var{C[2][2]}=\var{trC}$ .

d) $\mathrm{tr}\var{D}=\var{D[0][0]}+\var{D[1][1]}+\var{D[2][2]}+\var{D[3][3]}=\var{trD}$ .

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This question is used in the following exam:

Linear algebra by Farai Nechikwira in Farai's workspace.

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Taxonomy: mathcentre

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Taxonomy: Context

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Checkpoint description

Tatiana Tyukina 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Error in variable testing condition

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Generated value: `matrix`

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Trace of a matrix (same as WBQ 1.21)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Tatiana Tyukina 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Julia Goedecke 4 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: matrix

Parts

Gap-fill

Generated value: `matrix`