The transpose of a matrix is when you turn all the rows of a matrix into columns and vice versa. Row 1 becomes column 1, row 2 becomes column 2, and so on. The transpose of a matrix, A, is denoted
A^T.
When you transpose a matrix, the element in row i, column j becomes the element in row j, column i of the transposed matrix.
Let’s see some examples to better understand what the transpose of a matrix is.
First example (
click here):
1. Turn the rows into columns
Next example (
click here):
1. Turn the rows into columns
Last example (
click here):
1. Turn the rows into columns
This concept can be hard to visualize, so practicing a few examples will help you understand and become familiar with the transpose of a matrix. For more help or practice on the transpose of a matrix and other related matrix topics, visit Symbolab’s
Practice.
Until next time,
Leah
