Question: solving equations from equating linear combinations of wedge products

Hello,

recently I was helped on this forum when I asked how to work with exterior products:

http://www.mapleprimes.com/questions/137431-Efficient-Way-To-Work-Out-Exterior-Products

Now I would like to know how I can efficiently let Maple solve systems of equations between wedge products.

 

For instance, I would ask Maple to solve 

a*&^(e1,e2)+b*&^(e2,e3)=&^(e1,e2),

and I would expect {a=1,b=0} as a solution.

Is this possible? Thanks!

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