Question: Matrix Procedure Query

Hi. I'm hacing trouble writing a maple procedure for the question below, can anyone help?


Write a maple procedure which takes as its input the vectoeat u1 and u2 and the eigenvectors lambda1 and lambda2 where u1,u2 are element of R^2 and the lambdas are real numbers.

If u1,U2 is linearly independent then the output is the matrix A an element of R^2x2 with the property that Au1= lambda1u1 and AU2=lambda2u2;

if u1,u2 is linearly dependent then the output is the statement "not an eigenbasis".


I I then have two inputs which I have to do but I'm not sure on how to write the procedure. Any help will be much appreciated.  


Thanks :)



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