If the order of matrix 𝐴 is three by two, then how many rows does it have?
First, we need to recall what is meant by the order of a matrix. The order of a matrix is its dimensions, how many rows and how many columns that matrix has. And it’s often written in general as 𝑚 by 𝑛.
The convention is that we list the number of rows first, so 𝑚 gives the number of rows. And then the number of columns, so 𝑛 gives the number of columns. Our matrix 𝐴 is of order three by two, meaning it has three rows and two columns. The structure of our matrix 𝐴 is like this. It has six elements in total. That’s three times two arranged in three rows and two columns.
So our answer to the question “how many rows does the matrix 𝐴 have?” is three.