. before operation means that the operation is element wise
[a b].*[c d]=[a*c b*d]
' means transpose (columns turn into rows and rows into columns)
[a b]'=[a;b]
: means every element of column or row, it depends if it's before or after the comma, there are also other uses.
M(:,1) means all rows of column 1 and M(1,:) means all columns of row 1
M(:) means all elements of the array M
It can also be used to create vectors like this
v=1:0.1:10; %creates a vector with elements starting at 1 with 0.1 increment and ending at 10
M(1:10); %get the first 10 elements of the array M
Now you can understand your expression, I won't do it because by doing it you will learn better.
