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First, it would be nice to know
what a scalar is! Don't
worry -- it's easy...
A scalar is just a
number like 3
or -5
or
or .4
.
(We say "scalar"
instead of "number" so people don't know what we're talking about
and think we are really smart.)
We can multiply an
entire matrix by one of these guys.
Here's how it works:
Let's say we've got a
matrix A...
![A = [ row 1: -4 , 0 row 2: 3 , 6 ]](images/03-matrices-02.gif)
and we need to find
2A...
(2
times A)
EASY!
![2A = 2 [ row 1: -4 , 0 row 2: 3 , 6 ]](images/03-matrices-03.gif)
![= [ row 1: 2 ( -4 ) , 2 ( 0 ) row 2: 2 ( 3 ) , 2 ( 6 ) ]](images/03-matrices-04.gif)
![= [ row 1: -8 , 0 row 2: 6 , 12 ]](images/03-matrices-05.gif)
You just multiply
each entry by 2.
Continued on the
next
page
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