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Multiplying a vector with Square Matrix vs. its transpose

by newphysist
Tags: transpose
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newphysist
#1
Nov21-12, 02:53 PM
P: 12
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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mathman
#2
Nov21-12, 03:20 PM
Sci Advisor
P: 6,039
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
#3
Nov21-12, 04:02 PM
Mentor
P: 21,214
Quote Quote by newphysist View Post
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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