Question: Solve the system of linear equations

Hi there,

Unfortunately I don't have access to Maple because I am away from my office for the week, but I need a

system of linear equations solved. Can someone please solve it for me and post the solutions (if any)?

The system is:

a_1 x_1 + b_1 x_2 + c_1 x_3 + d_1 x_4 = e_1 + e_4

a_2 x_1 + b_2 x_2 + c_2 x_3 + d_2 x_4 = e_2

a_3 x_1 + b_3 x_2 + c_3 x_3 + d_3 x_4 = 0

a_4 x_1 + b_4 x_2 + c_4 x_3 + d_4 x_4 = e_1 + e_4

where the a_i, b_i, c_i, d_i (for i=1..4) are scalar coefficients, the x_i (for i=1..4) are the UNKNOWNS

and are vectors (length 4 vectors in R^4) and e_1, e_2, e_4 are three of the standard basis vectors of R^4 (I do not need e_3).

I would like to know if there is a solution to this system in terms of the unknowns: x_1, x_2, x_3, x_4. I suspect 

there is no solution but I want to be sure. Thank you very much!