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Excel矩陣公式必須傳回矩陣（向量），但傳回單一（標量）值

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Excel矩陣公式必須傳回矩陣（向量），但傳回單一（標量）值

是的，我閱讀：Excel：矩陣公式 - 為什麼不回傳矩陣（向量）？但這不一樣。

基本上我不明白為什麼公式是這樣的：{=MATCH({1,2,3},{1,2,3},0)}它通常會返回矩陣（向量）{1,2,3}返回單一值。

考慮這個例子：
注意：有很長的介紹 - 一個有趣的部分從粗體文本下方開始：“到目前為止，一切都按預期進行。”

有一個帶有Name和 Revision 的表columns。

  • 我想為每個唯一的 Name 提供一個唯一的整數GroupNo。
  • 然後根據修正值加上GroupNo小數部分( )RevPart""=0, "a"=0.01, ...
  • GroupNo+RevPart叫做FullGroupNo（FGN）
  • 我想知道FGN每個名稱組的最大值：( MaxInGroup)MIG

使用表格 ( Table1) 中的多個欄位可以輕鬆完成此操作：

GroupNo:     =MATCH([@Name],[Name],0)
RevPart:     =INDEX({0,1},MATCH([@Revision],{"","a"},0))/100
FullGroupNo: =[@GroupNo]+[@RevPart]
MaxInGroup: {=MAX(([@GroupNo]=[GroupNo])*[FullGroupNo])}

Table1
+------+----------+---------+---------+-------------+------------+
| Name | Revision | GroupNo | RevPart | FullGroupNo | MaxInGroup |
+------+----------+---------+---------+-------------+------------+
| A    | =""      |       1 |       0 |           1 |       1,01 |
| A    | a        |       1 |    0,01 |        1,01 |       1,01 |
| B    | =""      |       3 |       0 |           3 |          3 |
| C    | =""      |       4 |       0 |           4 |       4,01 |
| C    | a        |       4 |    0,01 |        4,01 |       4,01 |
+------+----------+---------+---------+-------------+------------+
Note: ="" means there is a blank string in the cell (formula ="")

( FullGroupNo)FGN可以透過僅引用Name和Revision列的一個公式來獲得。

FGN_2: {=(INDEX({0,1},MATCH([@Revision],{"","a"},0))/100+MATCH([@Name],[Name],0))}
FGN_2 is a new column in the table (Table1) above. It's matrix formula returns single (not-matrix) value.
 
Area under FGN (Matrix) is an ordinary worksheet range. This whole area contains return (matrix) value.
FGN (Matrix): {=INDEX({0,1},MATCH(Table1[Revision],"","a"},0))/100+MATCH(Table1[Name],Table1[Name],0))}

Table1     Just range
+-------+  +--------------+
| FGN_2 |  | FGN (Matrix) |
+-------+  +--------------+
|     1 |  |            1 |
|  1,01 |  |         1,01 |
|     3 |  |            3 |
|     4 |  |            4 |
|  4,01 |  |         4,01 |
+-------+  +--------------+

現在我嘗試將其合併MaxInGroup為一個矩陣公式。

Original MaxInGroup formula:
MaxInGroup:  {=MAX(([@GroupNo]=[GroupNo])*[FullGroupNo])}

Step1
- replace[@GroupNo] with matrix formula with reference only to Name and Revision columns
MIG_1:       {=MAX((MATCH([@Name],[Name],0)=[GroupNo])*[FullGroupNo])}

Step2
- Replace (matrix) [GroupNo] with matrix formula with reference to Name and revision columns
MIG_2:       {=MAX((MATCH([@Name],[Name],0)=MATCH([Name],[Name],0))*[FullGroupNo])}

到目前為止，一切都按預期進行。

Step3
- Replace (matrix) [FullGroupNo] in MIG_2 with matrix formula with reference to Name and Revidion columns
  (so, basicaly I need formula from FGN (Matrix) used before

MIG_3:  {=MAX((MATCH([@Name],[Name],0)=MATCH([Name],[Name],0))*(INDEX({0,1},MATCH([Revision],{"","a"},0))/100+MATCH([Name],[Name],0)))}
Note: MIG_3 is part of the Table1 so column names only are enough

So now we could have same values in MaxInGroup, MIG_1-3 columns. But no. We haven't.
The RevPart in MIG_3 depends only on the firs Revision value.

+------+----------+------------+-------+-------+-------+
| Name | Revision | MaxInGroup | MIG_1 | MIG_2 | MIG_3 |
+------+----------+------------+-------+-------+-------+
| A    | =""      |       1,01 |  1,01 |  1,01 |     1 |
| A    | a        |       1,01 |  1,01 |  1,01 |     1 |
| B    | =""      |          3 |     3 |     3 |     3 |
| C    | =""      |       4,01 |  4,01 |  4,01 |     4 |
| C    | a        |       4,01 |  4,01 |  4,01 |     4 |
+------+----------+------------+-------+-------+-------+
Versus
+------+----------+------------+-------+-------+-------+
| Name | Revision | MaxInGroup | MIG_1 | MIG_2 | MIG_3 |
+------+----------+------------+-------+-------+-------+
| A    | a        |       1,01 |  1,01 |  1,01 |  1,01 |
| A    | a        |       1,01 |  1,01 |  1,01 |  1,01 |
| B    | =""      |          3 |     3 |     3 |  3,01 |
| C    | =""      |       4,01 |  4,01 |  4,01 |  4,01 |
| C    | a        |       4,01 |  4,01 |  4,01 |  4,01 |
+------+----------+------------+-------+-------+-------+
Note: ="" means there is a blank string in the cell (formula ="")

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