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EDUCATIONAL ENGINEERING Charles M. Richardson, B.S., M.S., P.E. October 12, 2002, MULTIPLICATION MATRIX The history of this matrix goes back to the 70s when my wife and I operated an individual learning
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How to fill out multiplication matrix - home
How to fill out multiplication matrix - home?
Start by writing down the first matrix. For example, if you have a 3x2 matrix, write it down as follows:
[ a11 a12 ]
[ a21 a22 ]
[ a31 a32 ]
Next, write down the second matrix below the first matrix. If the second matrix is a 2x4 matrix, it would look like this:
[ b11 b12 b13 b14 ]
[ b21 b22 b23 b24 ]
01
Multiply each element in the row of the first matrix by the corresponding element in the column of the second matrix. For example, to calculate the element in the first row and first column of the resulting matrix, you would multiply a11 by b11, a12 by b21, and so on.
02
Sum up the products obtained in step 3. For the first row and first column element, the sum would be a11 * b11 + a12 * b21.
03
Write down the sum as the element in the resulting matrix. The resulting matrix will have the same number of rows as the first matrix and the same number of columns as the second matrix.
04
Repeat steps 3 to 5 for each element in the resulting matrix until all elements are filled.
Who needs multiplication matrix - home?
01
Students studying linear algebra or matrix operations. Understanding how to fill out a multiplication matrix is crucial in solving systems of linear equations and other applications in linear algebra.
02
Researchers and professionals in fields such as engineering, physics, and computer science. Multiplication matrices are often used to represent and solve complex mathematical problems and simulations.
03
Educators and tutors teaching matrix operations. Providing guidance and practice on filling out multiplication matrices helps students develop their skills in matrix algebra and problem-solving abilities.
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