On 05/01/2012 09:59 PM, Colin J. Williams wrote:
On 01/05/2012 2:43 PM, someone wrote:
[snip]
a = [1 2 3]; b = [11 12 13]; c = [21 22 23].
Then notice that c = 2*b - a. So c is linearly dependent on a and b.
Geometrically this means the three vectors are in the same plane,
so the matrix doesn't have an inverse.
Does it not mean that there are three parallel planes?
Consider the example in two dimensional space.
I actually drawed it and saw it... It means that you can construct a 2D
plane and all 3 vectors are in this 2D-plane...
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