vectorization

I got advice to use "vectorization"

But I wonder something.

I saw the book and I knew that "vectorization" is just possible to calculate about same raw and column.

But I need to know total calcuation values.

For example

a=0,1,2,3,4,5  b=1,2,3,4,5

y=ax*b

if I caculate by using "range variable", I get total calcualtion values. in case

<a=0,b=1> ,<a=0, b=2>.....<a=0,b=5>

<a=1,b=1>, <a=1, b=2>.....<a=1, b=5>

                        .

                        .

                        .

<a=5, b=1>, <a=5, b=2>......<a=5, b=5>

I want to get values following.

I couldn't have used "vector" because I thought that I couldn't get it.