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Matrices Continued…

Matrices Continued…. Guiding Question: How can we use matrices to find the value of inventory? . Matrix Product. The product of two or more matrices Rules:

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Matrices Continued…

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  1. Matrices Continued… Guiding Question: How can we use matrices to find the value of inventory?

  2. Matrix Product • The product of two or more matrices • Rules: • Matrices A and B can be multiplied ONLY if the number of columns in A equals the number of rows in B. (the inner dimensions must equal) • The product of an m x n and n x p matrix is an m x p matrix. (the outside dimensions will be the product) An m x n matrix A can be identified by using the notation Amxn

  3. Is the product defined? P2x5 R4x3 Q5x3 S4x5 Use the matrices above to tell whether the product is defined: • PQ 2. RS 3. QP 4. SR 5. SQ 6. RQ

  4. Multiplying Matrices In a matrix product P = AB, each element pijis the sum of the products of consecutive entries in row iin matrix A and column j in matrix B. P==

  5. A = C = B = AB (together) BA AC BC CA

  6. Step By Step Finding the Product • 1. Check the dimensions AB: A is a _____ and B is a ______.The product will be a ______. 2. 3. =

  7. AB continued • = • = • Try numbers 2-5!

  8. Using Matrices for Inventory • Two stores held sales on their videos and DVDs, with prices as shown. Use the sales data to determine how much money each store brought in from the sale on Saturday.

  9. Step By Step • 1. Display the data in 2 matrices • 2. Multiply the matrices to find the number of sales. • Where do the Saturday Sales occur?

  10. Homework :) • Page 257: 2-14 even • Have a great day!

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