I have a 6 x 6 matrix. I want to employ Cramer's rule to solve Gx=Θ. I need to sequently substitute column Vector Θ into the matrix columns. I can't get this to work. I have only being using Maple for a couple of weeks so still finding my way.

I have a set of multi variate polynomial  equations. I need to setup a matrix [G][x]=[Θ]  Θ is a function of c₁ and c₂ up to 4th order terms

 My problem x=[c₁⁵, c₁⁴c_{2 ,} c₁³c₂² , c₁²c₂³ , c₁c₂⁴ , c₂⁵ ] these 6 5th order terms...

Thank you Your more general solution works very well. I am very new to maple so still struggling with basics.

How would I get maple to display each part of the output on a line, i.e. A,B,C,D prints on seperate lines.

I have 2 equations for example

A xyz+B xy^2z^2 +C x^2yz^2+D xyz^2 +E z+ F   =   G xy+H xy^2+M x^2y+P

I need to equate the coefficients..  Now by inspection equating like powers of x and y

G=Az+Dz^2

H=Bz^2

M=Cz^2

P=Ez+F

How can I get  Maple to do this?

I am new to Maple so apppologies if this is a very basic question. I have a dual sum loop. Sigma i=1to 6(sigma j=1to 6)A_iB_j.

That works fine. I need to include the condition i+j<=8. So when when i=3 j can only count to 5, i=4 j count to 4, i=5 j count to 3. etc.

At present I am just using the work sheet. Haven't got into writing code yet.

Would appreciate any assistance,