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Worksheet Key 12/1/2018 8:08 PM 3.6 - Multiply Matrices
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Matrix MULTIPLICATION Section 4.2 12/1/2018 8:08 PM
3.6 - Multiply Matrices
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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
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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
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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
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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
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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
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Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM
3.6 - Multiply Matrices
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Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM
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Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM
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Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM
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Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM
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Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM
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Example 2 Find the product A • B, if possible 12/1/2018 8:08 PM
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Example 3 Find the product of W • X, if possible 3(4) + –2(5) ?
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Example 3 Find the product of W • X, if possible 3(7) + –2(1)
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Example 3 Find the product of W • X, if possible 3(–2) + –2(–1)
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Example 3 Find the product of W • X, if possible 1(4) + 0(5)
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Example 3 Find the product of W • X, if possible 1(7) + 0(1)
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Example 3 Find the product of W • X, if possible 1(–2) + 0(–1)
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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
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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
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Example 3 Find the product of W • X, if possible 2(–2) + –1(–1)
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Example 3 Find the product of W • X, if possible 12/1/2018 8:08 PM
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Example 4 Find the product of X • W, if possible 12/1/2018 8:08 PM
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Your Turn Find the product of W • Y, if possible 12/1/2018 8:08 PM
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Example 5 Find the product of P3 12/1/2018 8:08 PM
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Example 5 Find the product of P3, if possible 12/1/2018 8:08 PM
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Example 5 Find the product of P3, if possible 12/1/2018 8:08 PM
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Your Turn Find the product of Q2, if possible 12/1/2018 8:08 PM
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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
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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 $ and Star Movies made $ 12/1/2018 8:08 PM 3.6 - Multiply Matrices
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Assignment Page 199 3-33 odd, 34, 39 12/1/2018 8:08 PM
3.6 - Multiply Matrices
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