Unit 2: What is a matrix – really?

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Presentation transcript:

Unit 2: What is a matrix – really? 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 Unit 2: What is a matrix – really? Sec 1: Organizing Data into Matrices

What do you think a matrix is?

Definition Matrix (plural: matrices) – a rectangular array of numbers written within brackets.

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

Ex 1: Dimensions The number of horizontal rows and vertical columns determine the dimensions of a matrix State the dimensions of each matrix. A. B. C. 4 6 5 2 −3 −7 1 0 9 −4 1 3 −3 1 2 0 0.5

Ex 2: Identifying a Matrix Element Find each of the following elements: 𝒂 𝟑𝟏 𝒂 𝟐𝟐 𝒂 𝟐𝟏 𝒂 𝟏𝟏

Ex 3: organizing data Energy is often measured in British Thermal Units (Btu). Write a 3 x 2 matrix to represent the data above. Rewrite the information as a 2 x 3 matrix.

Ex 4: Gymnastics Write a matrix W to represent the information. Floor Exercise Vault Balance Beam Uneven Bars Amy Chow 9.525 9.468 9.625 9.400 Dominique Dawes 9.087 9.393 8.600 9.675 Kristin Maloney 9.225 9.312 9.575 Elise Ray 9.687 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?

homework Organizing Data into Matrices Worksheet