Statistics Dictionary

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Sum Vector

The sum vector 1n is a column vector having all n elements equal to one. The main use of the sum vector is to find the sum of the elements of another vector x.

Let's demonstrate with an example.

1   =   
1
1
1
x   =   
1
2
3

Then, the sum of elements from vector x is:

Σ xi = 1'x = ( 1 * 1 ) + ( 1 * 2) + ( 1 * 3 )
Σ xi = 1 + 2 + 3 = 6

See also:  Matrix Algebra: How to Compute Sums