Find the Transpose of A Matrix (Linear Algebra Math of Matrices)

In this video we will be finding the transpose of the matrix A. This is sometimes abbreviated as A superscript T
The definition of a transpose operation is taking the columns starting from column 1 and turning them into rows.
The number of rows in matrix A equals the numbers of columns in the transpose matrix and the numbers of columns in matrix A equals the number of rows in the transpose of the matrix
So we will first take the first or left most column of the matrix A and list it out in a row starting with the first entry and ending with the last entry. So in the transpose matrix the row position is now the column position.
We will then complete this for every other column in the original matrix. Starting a new row for each new column in the transpose matrix. We always start at the left most column and move to the rightmost column.
Following these rules I have listed out the transpose of A

Disclaimer
These videos are intended for educational purposes only (students trying to pass a class) If you design or build something based off of these videos you do so at your own risk. I am not a professional engineer and this should not be considered engineering advice. Consult an engineer if you feel you may put someone at risk.