### Answer:

`( 1, 2, 3 )`^{T T}

= `( 1, 2, 3 )`

Transposing twice gives you what you started with.
This seems obvious right now,
but later on when you are doing algebraic manipulation
it might help to remember this.

# Column Matrix Addition

A column matrix added to another column matrix
of the same dimension
results in a
column matrix (of the same dimension).
A similar statement is true for row matrices.

Addition is done by adding corresponding elements of the
input matrices to produce each corresponding element of the output matrix.

( 42, -12 )^{T} + ( 8, 24 )^{T} = ( 50, 12 )^{T}
( 32.98, -24.71, 9.392 )^{T} + ( -32.98, +24.71, -9.392 )^{T} = (0, 0, 0)^{T}
( 9.2, -8.6, 3.21, 48.7 ) + ( -2.1, 4.3, 1.0, 2.3 ) = ( 7.1, -4.3, 4.21, 51.0 )
( 1, 2, 3 ) + ( 10, 20, 30 ) = ( 11, 22, 33 )

If **a** and **b**
are matrices of the same type, then
**a** + **b** = **c**
means that each element c_{i} = a_{i} + b_{i}

### QUESTION 3:

Do the following problem:

( 2, -2 )^{T} + ( 8, 6 )^{T} =