Is ( 1.2, -3.9, 0.0 ) equal to ( 1.2, -3.9, 0.0 )T
No. The first matrix is a row matrix, and the second matrix is a column matrix (printed in a row, but the "T" means it is really a column matrix). Row matrices and column matrices are different types of objects, and cannot be equal.
Your previous courses may not have distinguished between row matrices and column matrices. They may not have made it clear that geometric vectors are different from the column matrices that represent them. These differences may seem picky at the moment, but keeping them straight will help you get through the difficult material to come.
Here is what it takes for two column matrices to be equal:
Here is what it takes for two row matrices to be equal:
Are the following row matrices equal?
( 8.0, -1.63, 7.0, 0.0 ) ( 8.0, -1.63, 7.0, 1.0 )