unit 2: what is a matrix – really? sec 1: organizing data into matrices learning target: i will...
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UNIT 2 : WHAT IS A MATRIX – REALLY?
Sec 1: Organizing Data into Matrices
Learning Target: I will organize information using matrices, give dimensions of a matrix and identify elements of a matrix.
Homework: Organizing Data into Matrices Worksheet
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What do you think a matrix is?
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DEFINITION
Matrix (plural: matrices) –
a rectangular array of
numbers written within
brackets.
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THINGS YOU CAN DO WITH A MATRIX
Organize Information
Add, Subtract and Multiply to find quantities
quickly with large groups of information.
Find missing quantities
Solve systems of equations
Transform geometric figures: rotate, reflect,
translate
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EX 1: DIMENSIONS
The number of horizontal rows and vertical
columns determine the dimensions of a matrix
[4 6 52 −3 −71 0 9 ]State the dimensions of each matrix.
A. B. C.[−4 13−3 ] [ 120
0.5]
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EX 2 : IDENTIFYING A MATRIX ELEMENT
A =
Find each of the following elements:
𝒂𝟑𝟏 𝒂𝟐𝟐 𝒂𝟐𝟏 𝒂𝟏𝟏
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EX 3: ORGANIZING DATA
China
Russia
U.S.
0 20 40 60 80 100
Column1ConsumptionProduction
Energy is often measured in British Thermal Units (Btu). 1. Write a 3 x 2 matrix to represent the data above.2. Rewrite the information as a 2 x 3 matrix.
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EX 4: GYMNASTICSGymnast Floor
ExerciseVault Balance
BeamUneven
Bars
Amy Chow 9.525 9.468 9.625 9.400
Dominique Dawes
9.087 9.393 8.600 9.675
Kristin Maloney
9.525 9.225 9.312 9.575
Elise Ray 9.225 9.468 9.687 9.687
a. Write a matrix W to represent the information.
b. What are the dimensions of the matrix?
c. Which element represents Kristin Maloney’s score on the vault?
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HOMEWORK
Organizing Data into Matrices
Worksheet