Question Video: Determining the Number of Rows in a Matrix given Its Order Mathematics

If the order of matrix A is 3 Γ— 2, then how many rows does it have?

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Video Transcript

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 π‘š by 𝑛.

The convention is that we list the number of rows first, so π‘š 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 β€œhow many rows does the matrix 𝐴 have?” is three.

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