Construction Matrices HS NVM C 6 Use matrices

Construction Matrices HS. N-VM. C. 6 Use matrices to represent and manipulate data, e. g. , to represent payoffs of incidence in a network.

Bellwork • Think about the last time you had to organize something and why you did it. • Share with your partner. 123 rf. com

Objectives 1. Define terminology 2. Determine the name, dimension (order), columns, rows and elements of a matrix. 3. Create a matrix 4. Add and subtract matrices

Math Check Basic skills are needed to be successful in this lesson on matrices. Do not use a calculator! 1. -3 + 5 + -2 2. 18 – (-7) 3. 0 – (-11)

Math Check Answers Basic skills are needed to be successful in this lesson on matrices. 1. -3 + 5 + -2 = 0 2. 18 – (-7) = 25 3. -3 – (-11) = 8

Terminology matrix ; the plural is matrices a table of numbers; a rectangular array of numbers

Label, Size and Elements Label (or name) a matrix with capital letters that are bolded A Size or dimension of a matrix is the number of rows X the number of columns 3 X 2 column 1 column 2 Each entry is called an element Element =9 row 1 A= row 2 row 3

Think-Pair-Share Create a memory strategy to help you remember that it is rows X columns. Be ready to share. PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

Write on your Slates Given the matrix B = • State the dimension • State the name of the matrix • Name the element PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

Write on your Slates Answers Given the matrix B = • State the dimension 2 X 4 • State the name of the matrix B • Name the element 0 PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

Let’s Check

? Thumbs up / Thumbs down 1 The name of this matrix could be n? PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

? Thumbs up / Thumbs down 1 Answer The label of this matrix could be n? No, labels must be capital letters. PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

? Thumbs up / Thumbs down 2 The dimension of the matrix is 3 X 2 PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

? Thumbs up / Thumbs down 3 The dimension of the matrix is 3 X 2 YES, there are 3 rows and 2 columns PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

? Thumbs up / Thumbs down 3 Is ? PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

? Thumbs up / Thumbs down 3 Answer Is ? NO, the element in row 3 column 1 is 1 PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

Create a matrix • A construction site manager is ordering supplies. He orders 4 claw hammers for site 1 and 6 for site 2. He also orders 18 ball-peen hammers for site 1 and 20 for site 2. Construct a matrix representing this information. • Label the rows and columns for clarity.

Identification Underline the important information PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013

Important Information • A construction site manager is ordering supplies. He orders 4 claw hammers for site 1 and 6 for site 2. He also orders 18 ball-peen hammers for site 1 and 20 for site 2. Construct a matrix representing this information. • Label the rows and columns for clarity.

Create a matrix • A construction site manager is ordering supplies. He orders 4 claw hammers for site 1 and 6 for site 2. He also orders 18 ball-peen hammers for site 1 and 20 for site 2. You may interchange the rows and column. Just make sure to label.

U-try • Create a matrix for the following information: plier sales during 2015. Craftsman: 20, 000 slip joint, 10, 000 pull grip and 5, 000 needle nose NWS’s: 10, 000 slip joint, 15, 000 pull grip and 9, 000 needle nose Snap-on: 8, 000 slip joint, 7, 000 pull grip and 15, 000 needle nose Channel Lock: 2, 000 slip joint, 9, 000 pull grip and 3, 000 needle nose

U-try Answer Craftsman: NWS’s: Snap-on: 20, 000 slip joint, 10, 000 pull grip and 5, 000 needle nose 10, 000 slip joint, 15, 000 pull grip and 9, 000 needle nose 8, 000 slip joint, 7, 000 pull grip and 15, 000 needle nose Channel Lock: 2, 000 slip joint, 9, 000 pull grip and 3, 000 needle nose Note: Other answers are possible

Adding and Subtracting Matrices • To add or subtract matrices, they must have the same dimension. • Add or subtract the corresponding elements. • Example:

U-try! • Add or subtract: 1. 2. 3.

U-try! Answers • Add or subtract: 1. 2. 3. Cannot add because they are not the same dimensions

Lumber Store • The manager of two hardware parts stores wants to maintain his inventory in matrices. Create a matrix for each store. • Store 1: 72 2 X 4’s treated and 142 for 2 X 4’s untreated; 15 4 X 6’s treated and 23 for 4 X 6’s untreated; 34 6 X 8’s treated and 19 6 X 8’s untreated • Store 2: 68 2 X 4’s treated and 98 for 2 X 4’s ; 21 4 X 6’s treated and 15 4 X 6’s untreated ; 29 6 X 8’s treated and 28 6 X 8’s untreated.

Using your matrices • Create an inventory matrix to combine lumber.

Lumber Store Answer Total

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