(22, 5, -12 ) - (10, -5, 3 ) = ( 22 - 10, 5 - (-5), -12 - 3 ) = ( 12, 10, -15 ) (10, -5, 3 ) - (22, 5, -12 ) = ( 10 - 22, (-5) - 5, 3 - (-12) ) = (-12, -10, 15 )

Another Math Fact emerges:

Matrix subtraction isNOT commutative. This means that you can't change the order when doinga - b.

The **negative** of a matrix is this:

-ameans negate each element ofa.

So, for example:

-(22, 5, -12 ) = ( -22, -5, 12 ) -( 19.2, 28.6, 0.0 )^{T}= ( -19.2, -28.6, 0.0 )^{T}

In symbols: if **a** is ( a_{0}, a_{1}, ..., a_{2})
then **-a** means ( -a_{0}, -a_{1}, ..., -a_{2}).

Perform the following subtraction:

( -7.2, -98.6, 0.0 )^{T}- ( -2.2, -2.4, 3.0 )^{T}