Only matrices of the same type can be compared. You can compare two three-dimensional column matrices, or two four-dimensional row matrices, and so on. It makes no sense to compare a three-dimensional row matrix to a three-dimensional column matrix. For example:
The character ≠ is "not equal" (may be hard to see with a web browser). Sometimes the rules are relaxed and one gets a little sloppy about the distinction between row matrices and column matrices. But keeping the distinction clear will avoid future confusion.
Are the following column matrices equal?
( 1.53, -0.03, 9.03, 0.0, +8.64 )T ( 1.53, -0.03, 9.03, 1.0, -8.64 )T