SUMPRODUCT

Multiplies corresponding components in the given arrays, and returns the sum of those products.

Syntax

SUMPRODUCT(array1,array2,array3, ...)

Array1, array2, array3, ...   are 2 to 30 arrays whose components you want to multiply and then add.

• The array arguments must have the same dimensions. If they do not, SUMPRODUCT returns the #VALUE! error value.
• SUMPRODUCT treats array entries that are not numeric as if they were zeros.

Example

The following formula multiplies all the components of the two arrays on the preceding worksheet and then adds the products — that is, 3*2 + 4*7 + 8*6 + 6*7 + 1*5 + 9*3.

SUMPRODUCT({3,4;8,6;1,9}, {2,7;6,7;5,3}) equals 156

Remarks

The preceding example returns the same result as the formula SUM(A1:B3*D1:E3) entered as an array. Using arrays provides a more general solution for doing operations similar to SUMPRODUCT. For example, you can calculate the sum of the squares of the elements in A1:B3 by using the formula SUM(A1:B3^2) entered as an array.