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What is it called when a row matrix is "flipped" into a column matrix?




Even if a row matrix and a column matrix are the same dimension and contain the same elements, they are considered different types. A "T" superscript is used when a column matrix is written as a row of numbers. The first element of a column matrix is the one at the top of the column. The first element of a row matrix is the one at the left of the row.

Here are two ways of writing out the same column matrix. The elements of the column matrix have the same subscripts no matter how the column matrix is displayed.

Column Matrix     (2, 0, 5, 1)T

A T superscript on column matrix with means to flip the column into a row, resulting in a row matrix. (Some books use a lower-case t.)


What is: ( 1, 2, 3 )T T     ?