A good answer might be:

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

Transposing twice gives you what you started with. This seems a bit dumb 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 yields another column matrix (with 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.

( 1, 2, 3 ) + ( 10, 20, 30 ) = ( 11, 22, 33 )

( 42, -12 )^T + ( 8, 24 )^T = ( 50, 12 )^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 )

( 32.98, -24.71, 9.392 )^T + ( -32.98, +24.71, -9.392 )^T = (0, 0, 0)^T

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 =