Random numbers in sumproduct function

Question

  have no success with this:     e33 has 1,  f33 has 2,  g33 has 3.    k22 has 4,  k25 has 5,  k32 has 6.       expecting (1x4) + (2x5) + (3x6) = 4+10+18= 32
    it's the outer product in matrix algebra.     in apl it's 1 2 3 +.x 4 5 6 = 32       
     how is a random list or range  of  values entered?     thanks.     don mattern

Answer 1

I could be wrong, but I do not believe numbers has the power to make matrix calculations.  I might suggest excel if that is an option.
This is how I would say that you need to do matrix multiplication.  I am going to assume you know all the rules for multiplying matrices.  First you need to have 4 separate tables with no header rows, no footer rows, nor header columns.
I will demonstrate with a (3x3)(3x3).  The first two tables are the Matrices that you are multiplying.
1
2
3
4
5
6
7
8
9
9
8
7
6
5
4
3
2
1
The third is the Transpose of Table 2.  In row 1 column A, place this formula =INDEX(TRANSPOSE(Table 2::$A$1:$C$3),ROW(),COLUMN()), and then fill it all the way out. And this is your result:
9
6
3
8
5
2
7
4
1
Now in the fourth table, in row 1 column A place this formula: =SUMPRODUCT(OFFSET(Table 1::$A$1,ROW()−1,0,1,3),OFFSET(Transpose of Table 2::$A$1,COLUMN()−1,0,1,3)) and fill out to the rest of the table.
30
24
18
84
69
54
138
114
90
This is a slight doozy, but I will explain when I have it written up in a few.