Matrix Addition and Subtraction

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Mark Patterson

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Mark Patterson 4 years, 6 months ago

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Question statement

Perform the following matrix additions and subtractions:

Give any introductory information the student needs.

			Name	Type	Generated Value

maP1a	matrix	matrix([6,5],[9,9])
maP1b	matrix	matrix([-2,7],[0,5])
maP2a	matrix	matrix([-6,-5],[-1,1])
maP2b	matrix	matrix([-1,6],[4,-1])
maP3a	matrix	matrix([-6,3],[4,-3])
maP3b	matrix	matrix([-8,-2],[6,6])
maP4a	matrix	Matrix of size 2×4
maP4b	matrix	matrix([5,0,3,-4],[6,1,6,2])
maP5a	matrix	Matrix of size 4×4
maP5b	matrix	Matrix of size 4×4

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
matrixrandom(2,2)

JME function reference

Description

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

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Generated value: `matrix`

matrix([6,5],[9,9])

→ Used by:

Advice
"Part a)" - prompt
"Part a)" → "Unnamed gap" - Correct answer

Parts

Part a) Gap-fill
1. Gap Matrix entry
  Add
Part b) Gap-fill
1. Gap Matrix entry
  Add
Part c) Gap-fill
1. Gap Matrix entry
  Add
Part d) Gap-fill
1. Gap Matrix entry
  Add
Part e) Gap-fill
1. Gap Matrix entry
  Add

Gap-fill

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

$\simplify{{maP1a}}+\simplify{{maP1b}} =$ Unnamed gap

Advice

To add or subtract matrices, the matrices need to be of the same order (same number of rows and columns). We then add or subtract each corresponding element.

e.g.

$\begin{pmatrix} a_{1,1} & a_{1,2} \\ a_{2,1} & a_{2,2} \\ \end{pmatrix} + \begin{pmatrix} b_{1,1} & b_{1,2} \\ b_{2,1} & b_{2,2} \\ \end{pmatrix} = \begin{pmatrix} a_{1,1} + b_{1,1} & a_{1,2} + b_{1,2} \\ a_{2,1} + b_{2,1} & a_{2,2} + b_{2,2} \\ \end{pmatrix}$

The resulting matrix will also be of the same order.

e.g. Part a)

$\simplify{{maP1a}} + \simplify{{maP1b}} = \begin{pmatrix} \var{maP1a[0][0]} + \var{maP1b[0][0]} & \var{maP1a[0][1]} + \var{maP1b[0][1]} \\ \var{maP1a[1][0]} + \var{maP1b[1][0]} & \var{maP1a[1][1]} + \var{maP1b[1][1]} \\ \end{pmatrix} = \simplify{{maP1a + maP1b}}$

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet
Gap-fill
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Matrix entry
Matrix entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Matrix entry
Matrix entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Matrix entry
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This question is used in the following exams:

Matrices Recap Exercises by Mark Patterson in COM281.
Matrices Recap Exercises by Mark Patterson in COM281.
Paul's copy of Matrices Recap Exercises by Paul Bushby in Paul's workspace.
Paul's copy of Matrices Recap Exercises by Paul Bushby in Paul's workspace.
Matrices Recap Exercises by AJAY OTTA in AJAY's workspace.
Samuel's copy of Matrices Recap Exercises by Samuel Frost in Matrices @ The College.

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Matrix Addition and Subtraction

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Mark Patterson 4 years, 6 months ago

Mark Patterson 4 years, 9 months ago

Mark Patterson 4 years, 9 months ago