Answer:
( 25.1, -19.6 ) + ( -5.0, 9.0 ) + ( 12.4, 8.92 ) + ( -20.1, 10.6 ) =
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\ /
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( 25.1, -19.6 ) + ( 12.4, 8.92 ) + ( -25.1, 19.6 )
--------------- ---------------
\ /
\ /
\ /
\ /
\ /
( 0.0, 0.0 ) + ( 12.4, 8.92 ) = ( 12.4, 8.92 )
Some things which Cannot be Done
In computer science terms, the "+" symbol is overloaded,
which means that the operation called for depends on the type of operands.
For example:
+ means addition of real numbers: 1.34 + -9.06
+ means addition of column matrices: ( 84.02, 90.31 )T + ( -14.23, 10.85 )T
The following have no meaning:
can't add a number to a matrix: 34.5 + ( 84.02, 90.31 )T
can't add a row matrix to a column matrix: ( 84.02, 90.31 ) + ( -14.23, 10.85 )T
can't add matrices of different dimensions: ( 84.02, 90.31 ) + ( -14.23, 10.85, 32.75 )
These problems are clear when the elements are written out, as above,
but it is less clear when variable symbols are used:
a + x ← can't add a number to a matrix
x + y ← make sure that both operands are the same type
QUESTION 8:
Perform the following addition:
( 4.5, x1, w ) + ( -2.3, 3, y2 ) =
