### How To Multiply Matrices

Watch more Intermediate Math Skills videos: http://www.howcast.com/guides/65-Intermediate-Math-Skills Subscribe to Howcast's YouTube Channel - http://howc.st/uLaHRS Use the method described here to multiply two matrices by hand. Howcast uploads the highest quality how-to videos daily! Be sure to check out our playlists for guides that interest you: http://howc.st/ytmainplaylists Subscribe to Howcast's other YouTube Channels: Howcast Health Channel - http://howc.st/HOE3aY Howcast Video Games Channel - http://howc.st/tYKKrk Howcast Tech Channel - http://howc.st/rx9FwR Howcast Food Channel - http://howc.st/umBoJX Howcast Arts & Recreation Channel - http://howc.st/vmB86i Howcast Sports & Fitness Channel - http://howc.st/vKjUjm Howcast Personal Care & Style Channel - http://howc.st/vbbNt3 Howcast empowers people with engaging, useful how-to information wherever, whenever they need to know how. Emphasizing high-quality instructional videos, Howcast brings you experts who provide accurate information in easy-to-follow tutorials on everything from makeup, hairstyling, nail art design, and soccer to parkour, skateboarding, dancing, kissing, and much, much more. Step 1: Check rows and columns Makes sure the number of columns in the first matrix equals the number of rows in the second. Tip Unless the number of columns in the first matrix equals the number of rows in the second, their product will be undefined. Step 2: Calculate the (row 1, column 1) entry Place the sum of the products from row 1 of the first matrix and column 1 of the second matrix in the (row 1, column 1) position of the product matrix. Step 3: Calculate the (row 2, column 1) entry Place the sum of the products from row 2 of the first matrix and column 1 of the second matrix in the (row 2, column 1) position of the product matrix. Step 4: Calculate the remaining entries Continue multiplying the elements of the rows of the first matrix by the elements of the columns in the second matrix until you have formed a product matrix with the dimensions of (rows of the first matrix) by (columns of the second matrix). Did You Know? The word _matrix_ comes from the Latin word for mother.

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