document.write( "Question 255245: Compute the following product.
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Algebra.Com's Answer #187516 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
See this solver for more help with multiplying matrices.\r
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\n" ); document.write( "\n" ); document.write( "Since the first matrix is a 3 by 4 matrix and the second matrix is a 4 by 2 matrix, this means that the resulting matrix will be a 3 by 2 matrix. The final matrix will have the same number of rows as the first matrix and the same number of columns as the second matrix.\r
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\n" ); document.write( "\n" ); document.write( "So the final resulting matrix will look like:\r
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\n" ); document.write( "\n" ); document.write( "\"%28matrix%283%2C4%2Cx%2Cx%2Cx%2Cx%2Cx%2Cx%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "note: the \"x\"s are just placeholders for now\r
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\n" ); document.write( "\n" ); document.write( "Multiply the corresponding entries from the 1st row of the first matrix by the 1st column of the second matrix. After multiplying, add the values:\r
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\n" ); document.write( "\n" ); document.write( "1st row, 1st column: \r
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\n" ); document.write( "\n" ); document.write( " So the element in the 1st row, 1st column of the resulting matrix is \"82\". Now let's update the matrix:\r
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\n" ); document.write( "\n" ); document.write( "\"%28matrix%283%2C4%2C82%2Cx%2Cx%2Cx%2Cx%2Cx%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply the corresponding entries from the 1st row of the first matrix by the 2nd column of the second matrix. After multiplying, add the values:\r
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\n" ); document.write( "\n" ); document.write( "1st row, 2nd column: \r
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\n" ); document.write( "\n" ); document.write( " So the element in the 1st row, 2nd column of the resulting matrix is \"-25\". Now let's update the matrix:\r
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\n" ); document.write( "\n" ); document.write( "\"%28matrix%283%2C4%2C82%2C-25%2Cx%2Cx%2Cx%2Cx%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply the corresponding entries from the 2nd row of the first matrix by the 1st column of the second matrix. After multiplying, add the values:\r
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\n" ); document.write( "\n" ); document.write( "2nd row, 1st column: \r
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\n" ); document.write( "\n" ); document.write( " So the element in the 2nd row, 1st column of the resulting matrix is \"85\". Now let's update the matrix:\r
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\n" ); document.write( "\n" ); document.write( "\"%28matrix%283%2C4%2C82%2C-25%2C85%2Cx%2Cx%2Cx%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply the corresponding entries from the 2nd row of the first matrix by the 2nd column of the second matrix. After multiplying, add the values:\r
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\n" ); document.write( "\n" ); document.write( "2nd row, 2nd column: \r
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\n" ); document.write( "\n" ); document.write( " So the element in the 2nd row, 2nd column of the resulting matrix is \"43\". Now let's update the matrix:\r
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\n" ); document.write( "\n" ); document.write( "\"%28matrix%283%2C4%2C82%2C-25%2C85%2C43%2Cx%2Cx%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply the corresponding entries from the 3rd row of the first matrix by the 1st column of the second matrix. After multiplying, add the values:\r
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\n" ); document.write( "\n" ); document.write( "3rd row, 1st column: \r
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\n" ); document.write( "\n" ); document.write( " So the element in the 3rd row, 1st column of the resulting matrix is \"-17\". Now let's update the matrix:\r
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\n" ); document.write( "\n" ); document.write( "\"%28matrix%283%2C4%2C82%2C-25%2C85%2C43%2C-17%2Cx%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply the corresponding entries from the 3rd row of the first matrix by the 2nd column of the second matrix. After multiplying, add the values:\r
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\n" ); document.write( "\n" ); document.write( "3rd row, 2nd column: \r
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\n" ); document.write( "\n" ); document.write( " So the element in the 3rd row, 2nd column of the resulting matrix is \"-97\". Now let's update the matrix:\r
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\n" ); document.write( "\n" ); document.write( "\"%28matrix%283%2C4%2C82%2C-25%2C85%2C43%2C-17%2C-97%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"%28matrix%283%2C2%2C82%2C-25%2C85%2C43%2C-17%2C-97%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "In other words,\r
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\n" ); document.write( "\n" ); document.write( "Once again, see this solver for more help with multiplying matrices.\r
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