Worksheet Key 12/1/2018 8:08 PM 3.6 - Multiply Matrices.

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Worksheet Key 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Matrix MULTIPLICATION Section 4.2 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Identifying Matrices to Multiply Unlike adding and subtracting matrices, multiplying matrices is different The column of the first matrix and the row of the second matrix have to be the same. The row of the first matrix and the column of the second matrix is the dimension B. It is possible that certain matrices cannot be multiplied 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 1 Can these matrices of be multiplied? If so, what are its dimensions? 2 x 3 3 x 4 S A M E 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Your Turn Can these matrices of be multiplied? If so, what are its dimensions? 3 x 2 3 x 4 N O T S A M E 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Multiplying Matrices Identify whether the matrices can be multiplied Multiply the first row number with first column number Then, add it to the first row number and second column underneath, and etc… Repeat Process in Steps 2 and 3 for third number 12/1/2018 8:08 PM 3.6 - Multiply Matrices

YES Example 2 Can this matrix be multiplied? Find the product A • B, if possible Can this matrix be multiplied? YES 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 3(4) + –2(5) ? 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 3(7) + –2(1) 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 3(–2) + –2(–1) 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 1(4) + 0(5) 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 1(7) + 0(1) 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 1(–2) + 0(–1) 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 2(4) + –1(5) 2(4) + –1(5) 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 2(7) + –1(1) 2(7) + –1(1) 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 2(–2) + –1(–1) 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 3 Find the product of W • X, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 4 Find the product of X • W, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Your Turn Find the product of W • Y, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 5 Find the product of P3 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 5 Find the product of P3, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Example 5 Find the product of P3, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Your Turn Find the product of Q2, if possible 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Use a product matrix to find the sales of each store for each day. Example 6 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. Use a product matrix to find the sales of each store for each day. 12/1/2018 8:08 PM 3.6 - Multiply Matrices

On Saturday, Video World made $851.05 and Star Movies made $832.50. Example 6 Fri Sat Sun Video World Star Movies On Saturday, Video World made $851.05 and Star Movies made $832.50. 12/1/2018 8:08 PM 3.6 - Multiply Matrices

Assignment Page 199 3-33 odd, 34, 39 12/1/2018 8:08 PM 3.6 - Multiply Matrices