Sunday, December 11, 2011

Matrix Multiplication

So, this week I am going to do my blog on how to mulitply matrices. It takes a long time but it is very simple. First, I am going to give you a few notes that you will need to know to be able to mulitply matrices.
Note:
  • When you mulitply matrices the inner numbers have to match. For example, if you are multipling a 2x3 and a 3x4 then you are able to mulitply it because the inner numbers match.
  • Your resulting matrix will be the outer numbers. So working with the problem above, your resulting matrix will be 2x4.
  • If your inner numbers do not match then you will not be able to mulitiply them and your answer will be not defined.

So now I am going to work a few examples for you to better understand these types of problems.

Example 1:

  • The dimensions of these two are 2x2 and 2x1. The inner numbers match so you are able to mulitiply it.
  • You are going to mulitply 4(5)+3(5)=35 and -1(5)+-2(1)=-7
  • Your answer is going to look like this:

Example 2: Mulitiply two matrices with the dimensions 2x1 and 2x2.

  • You cannot mulitiply these two matrices together because the inner numbers are 2 and 1 and they do not match.
  • So your answer is going to be not defined.

And that is it for this weeek! GOOOODBYEEE :D

--Halie

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