How to use matrix operations to create a "lag value" matrix

T

TrippKnightly

Let's suppose I've got an array that has values 100,200,300,400.

What could I do w/ matrix formulas to implicitly construct a 4x4
matrix that looks like:

1,2,3,4
0,1,2,3
0,0,1,2
0,0,0,1

The above is just a wedge that has each row "lagged" from the
previous.

I can do it explicitly by creating the lag matrix w/ lookup functions
right on the sheet, but curious if I might be able to do it right in
the formulas. That way I'd avoid the burden of creating lots of
utility calculation areas in the workbook.

(Aside - use case: These matrices are instrumental to modeling
cumulative impacts from customers acquired across time. I use these
matrices and multiply them times a customer lifecycle array modeling
each month's performance for a given customer. There are also other
ways to go, but I still end up creating a lot of utility ranges w/ a
bunch of sumproduct operations. Pick my poison, perhaps.)

Thx!
 
T

TrippKnightly

Edit: Sorry, I meant to say "an array that has values
1,2,3,4" (simpler, no need to divide by 100!).
 
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