Sunday, December 11, 2011

Multiplying Matrices

Things you should know:
  • Inner numbers must match. So what that means is if you have a 4x4 and a 2x4, you can't multiply those together. You can't multiply them together because the 4 and 2 are not the same. Only multiply it when they are the same.
  • Your answer will be the outer numbers. So if you were give a problem with the matrices 3x3 and 3x2 then your resulting matrix would be 3x2.
  • If you can not multiply a matrix, it is called "not defined".

Example 1:

  • First, you have to see what dimensions they are. Both of them are 2x2.
  • Second, you have to see if the inner numbers match, which they do.
  • So, you multiply 6x3+-5x2=8, 6x-1+-5x4=-26, 0x3+1x2=2, 0x-1+1x4=4.
  • Final answer:

Example 2:

  • First, find the dimensions of each matrix. 2x2 and 3x2.
  • The inner numbers are not the same.
  • You are not able to multiply these matrices.
  • Final answer: Not Defined.

:) Amber


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