Matrix multiplication with an indeterminate (WBQ1.35)

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Julia Goedecke

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4 years, 7 months ago

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

matrix

Matrix of size 3×3

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xxxxxxxxxx
 
 matrix([[1,1,0],[1,0,2],[0,2,-3]])

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

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Generated value: `matrix`

matrix([1,1,0],[1,0,2],[0,2,-3])

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1. Gap Number entry
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Steps Gap-fill
1. Gap Entry 1 Mathematical expression
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2. Gap Entry 2 Mathematical expression
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3. Gap Entry 3 Mathematical expression
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4. Gap Final matrix product Mathematical expression
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5. Gap k Number entry
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We have

$\begin{pmatrix} k & 1 &1\end{pmatrix}\var{A}\begin{pmatrix}k\\1\\1\end{pmatrix}= \begin{pmatrix} k & 1 &1\end{pmatrix}\begin{pmatrix}k+1\\k+2\\-1\end{pmatrix}$

$=k(k+1)+k+2-1=k^2+2k+1=(k+1)^2$ .

So this is zero when $k=-1$ .

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Matrix multiplication with an indeterminate (WBQ1.35)

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Taxonomy: mathcentre

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Taxonomy: Context

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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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Error

Matrix multiplication with an indeterminate (WBQ1.35)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

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

Objectives

Penalties

Generated value: `matrix`