Multiplying a vector with Square Matrix vs. its transpose

  • #1
newphysist
12
0
Hi,

I am new to Math so I am trying to get some intuition.

Let's say I have a matrix A of n x n and a vector B of n x 1 what is the difference between A x B and A' x B?

Thanks
 
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  • #2
I am not sure what you are looking for. I suggest you create some simple examples (n = 2 or 3) and see what you get.
 
  • #3
newphysist said:
Hi,

I am new to Math so I am trying to get some intuition.

Let's say I have a matrix A of n x n and a vector B of n x 1 what is the difference between A x B and A' x B?
If the matrix A is symmetric, there's no difference between Ab and ATb.

Note that I changed your notation a bit. Capital letters are usually used to represent matrices, and lower case letters are usually used for vectors.
 

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