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Excel中最被低估的降维打击函数!MMULT一出手80个公式瞬间变1个

  • 2026-05-31 20:52:24
Excel中最被低估的降维打击函数!MMULT一出手80个公式瞬间变1个

在职场中,你有没有经历过这种绝望时刻?

老板丢给你一份密密麻麻的报表:“把这三百个项目的物料用量,乘上对应的单价,算出每个项目的总成本,下班前给我。”

你熟练地写下一个 =A2*B2+C2*D2+... ,然后绝望地发现,由于条件太复杂,你竟然需要写几十上百个不同的公式,甚至还要拉一堆辅助列。手酸不说,一不留神还会拉错一行。

今天,我要给你介绍一个Excel里真正的“隐世高手”——MMULT函数。

它可能连很多干了5年的表哥表姐都没用过。但只要你掌握了它,上面那种让人崩溃的批量交叉计算,一个公式,一秒搞定。

什么是MMULT?别被名字吓倒!

MMULT的全称是(矩阵乘法)。听起来像大学高数?别慌!抛开书本上那些吓人的符号,在Excel里,它其实就是一个“批量乘加计算器”。

普通乘法是“一对一”:A单元格 × B单元格。

MMULT是“多对多”:把一组数据,按照规则跟另一组数据交叉相乘并求和,一次性吐出所有结果。

它计算的核心口诀只有八个字:“行乘列,乘完相加”。

慢动作拆解:MMULT到底是怎么算的?

为了让你看懂,我们不搞复杂的,就用最简单的 2行2列 数据。

假设你有两组数据:

矩阵A(用量):

矩阵B(单价):

如果不用MMULT,你要算出最终结果,得手写四个复杂的公式。

但如果你在旁边输入公式:=MMULT(A2:B3, D2:E3),回车,它会瞬间给出4个结果:19, 22, 43, 50。

它是怎么变出来的?我们按慢动作放一遍:

动作一:算左上角的“19”

去矩阵A抽它的第1行:[1, 2]

去矩阵B抽它的第1列:[5, 7](注意竖着看)

对应相乘并求和:(1×5) + (2×7) = 5 + 14 = 19

动作二:算右上角的“22”

去矩阵A还是抽第1行:[1, 2]

去矩阵B抽它的第2列:[6, 8]

对应相乘并求和:(1×6) + (2×8) = 6 + 16 = 22

动作三、四:同理类推

拿A的第2行 [3, 4],分别去撞B的第1列 [5, 7] 和第2列 [6, 8],算出 43 和 50。

看明白了吗?每次计算,都是拿A的一行,去撞B的一列,乘完加起来,填到结果里。

我们讲解一个实际案例

这是MMULT在职场中最接地气、最高频的用法。

假设你是工程公司的财务,老板拿来3个工程项目:A栋写字楼、B号公路、C区厂房。

每个项目都需要用到3种材料:钢筋、水泥、木材。

你在Excel里建了一个“用量矩阵”(3行3列),长这样:

同时,采购部给了你这三种材料的“单价矩阵”(3行1列)。

*(⚠️注意:这里必须排成一列,也就是列向量!)*

【传统做法有多蠢?】

如果不用MMULT,为了算A栋写字楼的总成本,你得在单元格里写一长串公式:

=B2*B6 + C2*B7 + D2*B8 (即:100×5000 + 500×500 + 50×2000)

不仅要来回盯着行列拉扯,写错了还不容易排查,三个项目就要写三次这种长公式。

【MMULT降维打击】

你只需要找个空白单元格,输入:

=MMULT(B2:D4, B6:B8)

回车!啪!三个项目的总成本瞬间全部出来!

【后台慢动作揭秘:它是怎么算的?】

我们套用前面的八字真言“行乘列,乘完相加”,来看看Excel在后台为你干了什么:

第一步:算A栋写字楼的总成本(结果的第1行)

去用量矩阵抽它的第1行:[100, 500, 50]

去单价矩阵抽它的第1列(也是唯一的一列):[5000, 500, 2000]

对应相乘并求和:

100 × 5000 = 50万

500 × 500 = 25万

50 × 2000 = 10万

加起来:50万 + 25万 + 10万 = 85万

*(你看,这和你手动写的那个又长又丑的公式,结果一模一样!)*

第二步:算B号公路的总成本(结果的第2行)

去用量矩阵往下走,抽它的第2行:[200, 800, 20]

去单价矩阵还是抽它的第1列:[5000, 500, 2000]

对应相乘并求和:

(200×5000) + (800×500) + (20×2000) = 144万

第三步:算C区厂房的总成本(结果的第3行)

抽用量矩阵的第3行:[50, 300, 100]

撞单价矩阵的第1列:[5000, 500, 2000]

对应相乘并求和:算出 60万。

最终,MMULT直接吐出一个3行1列的结果:850000; 1440000; 600000。没有任何辅助列,代码极其优雅。如果是几十个项目、几十种材料,传统方法要写疯,而MMULT依然是这一行简短的公式!

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  1. CONNECT:[ UseTime:0.000982s ] mysql:host=127.0.0.1;port=3306;dbname=h_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001503s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000666s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000618s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001287s ]
  6. SELECT * FROM `set` [ RunTime:0.000510s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001461s ]
  8. SELECT * FROM `article` WHERE `id` = 516409 LIMIT 1 [ RunTime:0.001144s ]
  9. UPDATE `article` SET `lasttime` = 1780923325 WHERE `id` = 516409 [ RunTime:0.017274s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000792s ]
  11. SELECT * FROM `article` WHERE `id` < 516409 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001181s ]
  12. SELECT * FROM `article` WHERE `id` > 516409 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001761s ]
  13. SELECT * FROM `article` WHERE `id` < 516409 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001662s ]
  14. SELECT * FROM `article` WHERE `id` < 516409 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002372s ]
  15. SELECT * FROM `article` WHERE `id` < 516409 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001749s ]
0.142400s