Multiplying a vector with Square Matrix vs. its transpose

[newphysist]

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

 

[mathman]

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.

 

[Mark44]

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 A^Tb.

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.