# Picky Distinctions

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:

- ( 6, 8, 12, -3 )
^{T} = ( 6, 8, 12, -3 )^{T}
- ( 6, 8, 12, -3 ) = ( 6, 8, 12, -3 )
- ( 6, 8, 12, -3 ) ≠ ( -2.3, 8, 12, -3 )
- ( 6, 8, 12, -3 )
^{T} ≠ ( 6, 8, 12, -3 )
- ( 6, 8, 12, -3 )
^{T} ≠ ( 6, 8, 12 )^{T}

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.

### QUESTION 10:

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}