MMULT

Returns the matrix product of two arrays. The result is an array with the same number of rows as array1 and the same number of columns as array2.

Syntax

MMULT(array1,array2)

Array1,array2   are the arrays you want to multiply.

• The number of columns in array1 must be the same as the number of rows in array2, and both arrays must contain only numbers.
• Array1 and array2 can be given as cell ranges, array constants, or references.
• If any cells are empty or contain text, or if the number of columns in array1 is different from the number of rows in array2, MMULT returns the #VALUE! error value.

Remarks

• The matrix product array a of two arrays b and c is:

  

  where i is the row number, and j is the column number.

• Formulas that return arrays must be entered as array formulas.

Examples

MMULT({1,3;7,2}, {2,0;0,2}) equals {2,6;14,4}

MMULT({3,0;2,0}, {2,0;0,2}) equals {6,0;4,0}

MMULT({1,3,0;7,2,0;1,0,0}, {2,0;0,2}) equals #VALUE!, because the first array has three columns, and the second array has only two rows.