Why Does Matrix Multiplication Work the Way it Does?

Multiplying a row vector with a column vector
Demonstrate how each cell is calculated in the result matrix when multiplying a column vector with a row vector.
Shows which rows and columns will be combined to calculate a specific cell in the result matrix. In brown color you see the calculated result which will be stored in that cell.
v₁, v₂, ..., vₙ
c₁, c₂, ..., cₙ
y = c₁v₁ + c₂v₂ + ..., cₙvₙ
[a, x], [b, y], [c, z]
2, 4, 6

--

--

Get the Medium app

A button that says 'Download on the App Store', and if clicked it will lead you to the iOS App store
A button that says 'Get it on, Google Play', and if clicked it will lead you to the Google Play store