Step by step
The question
Question: find the size of this matrix.
[0, 1, −1, 2; 3, 5, 8, 4]
A matrix is numbers in rows and columns, inside big brackets.
Each number in a matrix is called an entry.
1 Count the rows
Rows go across.
We count them: 1, 2.
There are 2 rows.
rows = 2
2 Count the columns
Columns go down.
We count them: 1, 2, 3, 4.
There are 4 columns.
columns = 4
The size is rows by columns: 2 by 4.
Rows come first.
We write it like this, and say 2 by 4.
size = 2 × 4
Careful!
Rows always come first, then columns.
4 by 2 would be a different shape.
Careful: not 4 × 2 ✗
3 Check
Let's check.
2 rows of 4 make 2 × 4 = 8 entries.
We count all the entries in the matrix: 8.
So the size is right!
2 × 4 = 8
Let's look back.
First: count the rows.
Then: count the columns.
Last: check.
Answer
Careful: not 4 × 2 ✗