I just learnt about vector space in linear algebra, and I think i misunderstood the meaning of vector in linear algebra. Can you help me please?

Ehrlich
Apr 4, 2017

#1**+1 **

A vector in linear algebra is generally just a list of components. In two dimensions these would represent the x and y components if you think of them graphically. However, in general, there could be n terms, where n is much greater than 2, so these would be difficult to visualise! The components are usually listed within brackets. When these are aligned in a row you have a row vector; when they are aligned vertically, you have a column vector. There are specific rules for adding, multiplying etc.

Is this what you are looking for, or is there a specific feature you encountered that puzzled you?

Alan
Apr 4, 2017

#2**+1 **

Oneof the things that puzzled me is that the lecturer said a vector can be expressed by a function, or that a function can be represented by a vector, or that functions and vectors are the same. Im not quite sure tho.

Ehrlich
Apr 4, 2017