- #1
How does boolean algebra work for multiplying a 5x5 matrix?
- Thread starter MissP.25_5
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- Matrix Multiplication
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To multiply a 5x5 matrix using boolean algebra, the process involves combining rows from the first matrix with columns from the second matrix. For example, to find the (1,4) entry, multiply the first row of the first matrix by the fourth column of the second matrix, resulting in a boolean sum of products. The calculations yield results of either 0 or 1, reflecting the boolean nature of the operation. Visual aids can enhance understanding of the multiplication process, but effort must be shown in the calculations for effective learning. Mastery of these steps is essential for successfully applying boolean algebra in matrix multiplication.
- #2
tiny-tim
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Hello MissP.25_5! 
Let's take the (1,4) entry …
you combine the 1st row of the 1st matrix with the 4th column of the second matrix:
(0 1 1 0 0) and (0 1 0 0 1) …
that's 0*0 + 1*1 + 1*0 + 0*0 + 0*1 = 1
MissP.25_5 said:
Let's take the (1,4) entry …
you combine the 1st row of the 1st matrix with the 4th column of the second matrix:
(0 1 1 0 0) and (0 1 0 0 1) …
that's 0*0 + 1*1 + 1*0 + 0*0 + 0*1 = 1
ok, now you try some of the others, and show us what you get (or where you're stuck)
- #3
berkeman
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MissP.25_5 said:
Have you seen the following method for visualizing the multiplication? It should help you to understand how to do matrix multiplication in general. Now please show your work -- you know that you need to show effort before we should offer tutorial help on schoolwork...
http://www.texample.net/media/tikz/examples/thumbs/matrix-multiplication.jpg
- #4
Mark44
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That's an interesting diagram. I like it!
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