Match row and column to get the value from the same row - Matrix - excel

Question

I have a matrix like below,
A B C D E F
A 0 12 13 14 15 16
B 12 0 12 15 15 18
C 11 11 0 12 12 15
D 26 24 25 0 22 25
E 87 86 82 12 0 23
F 11 25 36 14 25 0
Now i want that in the below format,
A A 0
A B 12
A C 13
A D 14
A E 15
A F 16
B A 12
B B 0
B C 12 so on.
How can i achive that in excel via formulae.

Answer 1

As stated Offset is a volatile function in that it will always calculate whenever excel calculates regardless if the underlying data has changed or not.
Index is not volatile:
In A10:
=INDEX($A$2:$A$7,INT((ROW(1:1)-1)/ROWS($A$2:$A$7))+1)
In B10:
=INDEX($B$1:$G$1,MOD((ROW(1:1)-1),COLUMNS($B$1:$G$1))+1)
In C10:
=INDEX(A:G,MATCH(A10,$A:$A,0),MATCH(B10,$1:$1,0))
Then copy down

Answer 2

Assuming your data is fixed width (6 here) and exists in columns A-F. Put the following formulas in J1-L1 and fill down. It uses the offset method and looks at fractions of the row, either the remainder or the integer to determine steps for rows (integer) or remainder via mod function (columns).
=OFFSET($A$1,ROUNDDOWN((ROW(J1)-ROW($J$1))/6,0)+1,0)
=OFFSET($A$1,0,MOD((ROW(K1)-ROW($J$1)),6)+1)
=OFFSET($A$1,ROUNDDOWN((ROW(L1)-ROW($J$1))/6,0)+1,MOD((ROW(K1)-ROW($J$1)),6)+1)

Answer 3

I'm hoping I understand your question. But, assuming you had your matrix starting in the top left of the sheet, you would have:
Going Down:
"A" in cell A2, "B" in cell B2, etc
Going Across:
"A" in cell B1, "B" in cell C1, etc
Data:
Your first value (corresponding to A,A) in cell B2
So, now you havem for example, in cell A10 the row letter you want and, in cell A11 the column letter you want. So, you could use the following formula to get your desired result:
=INDEX($B$2:$G$7,MATCH(A10,$A$2:$A$7,0),MATCH(B10,$B$1:$G$1,0))
Basically, using the INDEX() function on your array and matching the row to the desired row letter and the column to your desired column letter.
Hope that makes sense.