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multiply the following matrices

|1 7 5|        |5  1|

           x     |0  4|

|4 9 1|        |3 5|

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Maurizio T. | Statistics Ph.D and CFA charterholder with a true passion to teach.Statistics Ph.D and CFA charterholder wi...
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The first matrix is 2x3, the second is 3x2, hence we know that the matrix we get from the multiplication is a 2x2.   To compute it, multiply the first row of the first matrix by the first column of the second matrix, then the first row of the first matrix by the second row of the second matrix, then the second row of the the first matrix by the 1st column of the second matrix, and finally, multiply the second row of the first matrix by the second column of the second matrix.  This gives the following matrix

| 20  54 |

|23   45|

For example, the first element, 20, is the result of   1*5+7*0+5*3 = 20

The element 54 comes from  1*1+7*4+5*5 = 54......