QUESTION 5:
Contemplate this problem:
( -1, -2, 3 )T + ( 1, 2, -3 )T =
( 8, 4, 6 )T + ( 2, -2, 9 )T = ( 10, 2, 15 )T ( 2, -2, 9 )T + ( 8, 4, 6 )T = ( 10, 2, 15 )T
Matrix addition is commutative. This means that
a + b = b + a.
This works for both row and column matrices of all dimensions. It is also true that:
a + b + c = b + c + a = c + a + b = .....
In other words, the order in which you add matrices does not matter. At least for addition, matrices work the same way as numbers, since, of course, 1 + 2 = 2 + 1.
Matrices and numbers usually do NOT work the same way! But they do for addition.
Contemplate this problem:
( -1, -2, 3 )T + ( 1, 2, -3 )T =