Multiply matrixes question

I am really confused on this
3, 3 , -1
-5 , 4 , 2
-2 , -2 , 1
multiplied by
-1
5
-2

(3, 3 , -1)..(-1)
(-5 , 4 , 2)*(5) =
(-2 , -2 , 1).(-2)

You'll get a vector(3*1)

(-3 + 15 + 2) = (14)
(5 + 20 - 4)......(21)
(2 - 10 - 2).......(-10), answer!

You have a 3 by 3 multiplied by a 3 by 1 so the result will be a 3 by 1 matrix

Multiply the corresponding entries of each row by the column and then sum

3(-1) + 3(5) + (-1)(-2) = -3 + 15 + 2 = 14
(-5)(-1) + 4(5) + 2(-2) = 5 + 20 - 4 = 21
(-2)(-1) + (-2)(5) + 1( -2) = 2 - 10 - 2 = -10

The product is the 3 by 1 matrix

14
21
-10