For AI agents: use /llms.txt for the Nakafa content index.
Consider the Mathematics and English scores of three students:
| Student | Mathematics | English |
|---|---|---|
| Aisyah | ||
| Alex | ||
| Wayan |
Keeping only the numerical entries gives the matrix:
The same matrix can also be written with parentheses:
are the elements of matrix .
Three terms describe a matrix's structure:
For matrix :
Row is
Row is
Row is
Column :
Column :
An element of matrix is written . The first index gives the row, and the second index gives the column.
Here is the number of rows and is the number of columns. The row index is an integer satisfying . The column index is an integer satisfying . These bounds keep each index within the matrix.
For the matrix above:
| Entry | Row | Column | Value |
|---|---|---|---|
The dimensions of a matrix state its number of rows first and columns second. A matrix with rows and columns has dimensions , read " by ."
For matrix :
Matrix has rows and columns, so its dimensions are . We may write this as .
Another example:
Suppose a semester attendance table records excused, sick, and unexcused absences:
| Student | Excused | Sick | Unexcused |
|---|---|---|---|
| Aisyah | |||
| Alex | |||
| Wayan |
Its numerical entries form matrix :
Matrix has rows and columns. Its dimensions are therefore , written .
For example:
A matrix with rows and columns can be written as:
The notation tells us:
Matrix types and operations use row and column positions to identify which entries are compared, combined, or transformed.
Published: . Updated: .
